Finding the Fourth Proportional to 111.29, 166.65 and 102.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111.29 : 166.65 = 102.38 : x
2. Step 2: Convert to fraction form
   111.29/166.65 = 102.38/x
3. Step 3: Cross multiply
   111.29x = 166.65 × 102.38
4. Step 4: Simplify right side
   111.29x = 17,061.63
5. Step 5: Solve for x
   x = 17,061.63/111.29
6. Step 6: Final answer
   x = 153.31