Finding the Fourth Proportional to 102.10, 140.71 and 74.42

Step by Step Solution

1. Step 1: Write the proportion equation
   102.10 : 140.71 = 74.42 : x
2. Step 2: Convert to fraction form
   102.10/140.71 = 74.42/x
3. Step 3: Cross multiply
   102.10x = 140.71 × 74.42
4. Step 4: Simplify right side
   102.10x = 10,471.27
5. Step 5: Solve for x
   x = 10,471.27/102.10
6. Step 6: Final answer
   x = 102.56