Question

in the figure below, x lies between w and y. find the location of x so that the ratio of wx to xy is 3 to 1. location of x:

Explanation:

Step1: Calculate the total number of parts

The ratio of \( WX \) to \( XY \) is \( 3:1 \), so the total number of parts is \( 3 + 1=4 \) parts.

Step2: Calculate the distance between \( W \) and \( Y \)

The distance between \( W(4) \) and \( Y(36) \) is \( d=36 - 4=32 \).

Step3: Calculate the length of one part

Since the total distance \( WY = 32 \) and there are \( 4 \) parts, the length of one part is \( \frac{32}{4}=8 \).

Step4: Calculate the location of \( X \)

Since \( WX \) is \( 3 \) parts, \( WX=3\times8 = 24 \). Then the location of \( X \) is \( 4+24=28 \).

Answer:

\( 28 \)