Finding the Fourth Proportional to 102.01, 152.69 and 71.48

Step by Step Solution

1. Step 1: Write the proportion equation
   102.01 : 152.69 = 71.48 : x
2. Step 2: Convert to fraction form
   102.01/152.69 = 71.48/x
3. Step 3: Cross multiply
   102.01x = 152.69 × 71.48
4. Step 4: Simplify right side
   102.01x = 10,914.31
5. Step 5: Solve for x
   x = 10,914.31/102.01
6. Step 6: Final answer
   x = 106.99