Finding the Fourth Proportional to 102.35, 153.50 and 33.86

Step by Step Solution

1. Step 1: Write the proportion equation
   102.35 : 153.50 = 33.86 : x
2. Step 2: Convert to fraction form
   102.35/153.50 = 33.86/x
3. Step 3: Cross multiply
   102.35x = 153.50 × 33.86
4. Step 4: Simplify right side
   102.35x = 5,196.57
5. Step 5: Solve for x
   x = 5,196.57/102.35
6. Step 6: Final answer
   x = 50.78