Finding the Fourth Proportional to 102.10, 152.86 and 71.46

Step by Step Solution

1. Step 1: Write the proportion equation
   102.10 : 152.86 = 71.46 : x
2. Step 2: Convert to fraction form
   102.10/152.86 = 71.46/x
3. Step 3: Cross multiply
   102.10x = 152.86 × 71.46
4. Step 4: Simplify right side
   102.10x = 10,923.38
5. Step 5: Solve for x
   x = 10,923.38/102.10
6. Step 6: Final answer
   x = 106.99