Complete the proportion you can use to convert 60 inches to centimeters. Enter your answer with one decimal place. 1 inch 2.54 centimeters = 60 inches centimeters
The Correct Answer and Explanation is :
The correct answer is:152.4 centimeters.
To convert 60 inches to centimeters using the proportion given, we can set it up as follows:
[
\frac{1 \text{ inch}}{2.54 \text{ centimeters}} = \frac{60 \text{ inches}}{x \text{ centimeters}}
]
Where ( x ) is the number of centimeters we want to find. To solve for ( x ), we can cross-multiply:
[
1 \cdot x = 60 \cdot 2.54
]
This simplifies to:
[
x = 60 \cdot 2.54
]
Now, calculating ( x ):
[
x = 152.4
]
So, 60 inches is equal to 152.4 centimeters.
Explanation
The conversion from inches to centimeters is straightforward once you know the conversion factor: 1 inch is equal to 2.54 centimeters. This is a fixed relationship and provides a way to easily convert measurements between these two units of length.
In this case, we want to convert 60 inches into centimeters. The method involves using a proportion, where we relate the known quantity (1 inch) to the unknown quantity (60 inches) through the conversion factor (2.54 centimeters).
By setting up the proportion, we establish a relationship between the two measurements, allowing us to isolate the unknown value ( x ). Cross-multiplying is a mathematical technique that helps us maintain the equality of the proportion, leading us directly to the solution.
After calculating, we find that 60 inches is equal to 152.4 centimeters. This result can be useful in various real-world applications, such as in science, engineering, or everyday tasks where accurate measurements are crucial.
Understanding unit conversions is a fundamental skill in many fields, ensuring that measurements can be accurately compared and understood regardless of the unit of measure being used.