Finding the Fourth Proportional to 102.00, 152.89 and 50.53

Step by Step Solution

1. Step 1: Write the proportion equation
   102.00 : 152.89 = 50.53 : x
2. Step 2: Convert to fraction form
   102.00/152.89 = 50.53/x
3. Step 3: Cross multiply
   102.00x = 152.89 × 50.53
4. Step 4: Simplify right side
   102.00x = 7,725.28
5. Step 5: Solve for x
   x = 7,725.28/102.00
6. Step 6: Final answer
   x = 75.74