If 28.9 : x :: x : 36.1, and x 0, then find the value of x.

Question

If 28.9 : x :: x : 36.1, and x > 0, then find the value of x.

Accepted Answer

Given the proportion 28.9 : x :: x : 36.1, this means 28.9 / x = x / 36.1.

Cross-multiplying, we get:
28.9 * 36.1 = x^2

Calculate the product:
28.9 * 36.1 = 1043.29

So, x^2 = 1043.29

Taking the positive square root (since x > 0):
x = √1043.29 ≈ 32.3

Rechecking the calculation:
28.9 * 36.1 = 1043.29
√1043.29 ≈ 32.3

Therefore, the correct value of x is approximately 32.3.

Since 32.3 is an option, it is the correct answer.

Answer

Answer

Answer