{"id":133994,"date":"2024-08-26T10:47:31","date_gmt":"2024-08-26T10:47:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=133994"},"modified":"2024-08-26T10:47:33","modified_gmt":"2024-08-26T10:47:33","slug":"ratio-and-proportion-0-6-x-742-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/26\/ratio-and-proportion-0-6-x-742-2\/","title":{"rendered":"Ratio and Proportion: 0.6: X:: 7:42"},"content":{"rendered":"\n<p>Ratio and Proportion: 0.6: X:: 7:42<\/p>\n\n\n\n<p>A.<br>X=2.4<\/p>\n\n\n\n<p>B.<br>X=0.6<\/p>\n\n\n\n<p>C.<br>X=1.2<\/p>\n\n\n\n<p>D.<br>X=3.6<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the ratio and proportion problem 0.6:X::7:420.6:X::7:420.6:X::7:42, we need to find the value of XXX that maintains the equality between the two ratios. This problem can be approached by setting up a proportion and solving for XXX.<\/p>\n\n\n\n<p><strong>Step-by-Step Solution:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Set Up the Proportion:<\/strong>The ratio 0.6:X0.6:X0.6:X is equivalent to the ratio 7:427:427:42. We can write this as:0.6X=742\\frac{0.6}{X} = \\frac{7}{42}X0.6\u200b=427\u200b<\/li>\n\n\n\n<li><strong>Solve the Proportion:<\/strong>To solve for XXX, we need to cross-multiply and then isolate XXX. Cross-multiplying involves multiplying the numerator of one fraction by the denominator of the other fraction:0.6\u00d742=7\u00d7X0.6 \\times 42 = 7 \\times X0.6\u00d742=7\u00d7X<\/li>\n\n\n\n<li><strong>Perform the Multiplication:<\/strong>Calculate 0.6\u00d7420.6 \\times 420.6\u00d742:0.6\u00d742=25.20.6 \\times 42 = 25.20.6\u00d742=25.2Thus, we have:25.2=7\u00d7X25.2 = 7 \\times X25.2=7\u00d7X<\/li>\n\n\n\n<li><strong>Isolate XXX:<\/strong>To find XXX, divide both sides of the equation by 7:X=25.27X = \\frac{25.2}{7}X=725.2\u200b<\/li>\n\n\n\n<li><strong>Perform the Division:<\/strong>Calculate 25.27\\frac{25.2}{7}725.2\u200b:25.27=3.6\\frac{25.2}{7} = 3.6725.2\u200b=3.6Thus, X=3.6X = 3.6X=3.6.<\/li>\n<\/ol>\n\n\n\n<p><strong>Conclusion:<\/strong><\/p>\n\n\n\n<p>The correct answer is X=3.6X = 3.6X=3.6. This result is found by maintaining the equality of the two ratios through cross-multiplying and solving the resulting equation. This method is a standard approach for solving proportion problems, ensuring that the ratios remain equivalent when the unknown variable is determined.<\/p>\n\n\n\n<p><strong>Answer: D. X=3.6X = 3.6X=3.6<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ratio and Proportion: 0.6: X:: 7:42 A.X=2.4 B.X=0.6 C.X=1.2 D.X=3.6 The Correct answer and Explanation is: To solve the ratio and proportion problem 0.6:X::7:420.6:X::7:420.6:X::7:42, we need to find the value of XXX that maintains the equality between the two ratios. This problem can be approached by setting up a proportion and solving for XXX. Step-by-Step [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-133994","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133994","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=133994"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133994\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=133994"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=133994"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=133994"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}