Finding the Fourth Proportional to 102.05, 152.96 and 33.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102.05 : 152.96 = 33.50 : x
2. Step 2: Convert to fraction form
   102.05/152.96 = 33.50/x
3. Step 3: Cross multiply
   102.05x = 152.96 × 33.50
4. Step 4: Simplify right side
   102.05x = 5,123.23
5. Step 5: Solve for x
   x = 5,123.23/102.05
6. Step 6: Final answer
   x = 50.21