Ratio and Proportion: 100: 2 :: 60: X. Find x.

Ratio and Proportion: 100: 2 :: 60: X. Find x.

A.
X=1.2

B.
X=1.6

C.
X=12

D.
X=2.2

To solve the ratio and proportion problem 1002=60X\frac{100}{2} = \frac{60}{X}2100​=X60​, follow these steps:

1. Set up the proportion:1002=60X\frac{100}{2} = \frac{60}{X}2100​=X60​
2. Calculate 1002\frac{100}{2}2100​:1002=50\frac{100}{2} = 502100​=50
3. Set up the equation:50=60X50 = \frac{60}{X}50=X60​
4. Solve for XXX by cross-multiplying:50×X=6050 \times X = 6050×X=60
5. Solve for XXX:X=6050=1.2X = \frac{60}{50} = 1.2X=5060​=1.2

Therefore, the value of XXX is 1.21.21.2.

The correct answer is:

A. X = 1.2