Finding the Fourth Proportional to 99.69, 149.48 and 33.78

Step by Step Solution

1. Step 1: Write the proportion equation
   99.69 : 149.48 = 33.78 : x
2. Step 2: Convert to fraction form
   99.69/149.48 = 33.78/x
3. Step 3: Cross multiply
   99.69x = 149.48 × 33.78
4. Step 4: Simplify right side
   99.69x = 5,049.27
5. Step 5: Solve for x
   x = 5,049.27/99.69
6. Step 6: Final answer
   x = 50.65