Question

Find the value of x by solving the following proportion
9:72 :: x:128

Answer 1

To solve the proportion 9:72 :: x:128, you set up the proportion as a fraction, use cross multiplication to find the value, simplify, and solve for x, yielding x = 16.

Step-by-step explanation:

To find the value of x in the proportion 9:72 :: x:128, we need to set up a proportion and solve for x. Using the cross multiplication method, we have:

1. Set up the proportion as a fraction: 9/72 = x/128.
2. Cross multiply to find the value of x: (9 × 128) = (72 × x).
3. Simplify and solve for x: 1152 = 72x.
4. Divide both sides by 72 to find x: x = 1152 / 72.
5. Calculate the final value of x: x = 16.

Therefore, the value of x is 16.

To find the value of x in the proportion 9:72 :: x:128, we can set up a proportion and cross multiply. The proportion is 9/72 = x/128. Cross multiplying, we get 9 * 128 = 72 * x. Simplifying, we get 1152 = 72x. Dividing both sides by 72, we find that x = 16.