Finding the Fourth Proportional to 118.72, 164.06 and 102.52

Step by Step Solution

1. Step 1: Write the proportion equation
   118.72 : 164.06 = 102.52 : x
2. Step 2: Convert to fraction form
   118.72/164.06 = 102.52/x
3. Step 3: Cross multiply
   118.72x = 164.06 × 102.52
4. Step 4: Simplify right side
   118.72x = 16,819.43
5. Step 5: Solve for x
   x = 16,819.43/118.72
6. Step 6: Final answer
   x = 141.67