Question

Write your ratio and solve for x to the nearest tenth of a foot for the given values: 12, 15, x.

a) Ratio: 3:4, x ≈ 9.6 feet
b) Ratio: 4:3, x ≈ 10.8 feet
c) Ratio: 2:5, x ≈ 6.0 feet
d) Ratio: 5:2, x ≈ 7.2 feet

Answer 1

a) Ratio: 3:4, x ≈ 9.6 feet. To solve this problem, set up a proportion by setting the two ratios equal to each other. For example, if the ratio is 3:4 and x is approximately 9.6 feet, the proportion would be 3/4 = 12/x. Cross multiplying, you get 3x = 48, and then solving for x, x = 16. This means that x is approximately 16 feet.

Step-by-step explanation:

To solve this problem, set up a proportion by setting the two ratios equal to each other.

For example, if the ratio is 3:4 and x is approximately 9.6 feet, the proportion would be 3/4 = 12/x. Cross multiplying, you get 3x = 48, and then solving for x, x = 16. This means that x is approximately 16 feet.

Therefore, the correct answer is a) Ratio: 3:4, x ≈ 9.6 feet.