Finding the Fourth Proportional to 102.33, 152.69 and 90.72

Step by Step Solution

1. Step 1: Write the proportion equation
   102.33 : 152.69 = 90.72 : x
2. Step 2: Convert to fraction form
   102.33/152.69 = 90.72/x
3. Step 3: Cross multiply
   102.33x = 152.69 × 90.72
4. Step 4: Simplify right side
   102.33x = 13,851.58
5. Step 5: Solve for x
   x = 13,851.58/102.33
6. Step 6: Final answer
   x = 135.36