Finding the Fourth Proportional to 99.83, 149.71 and 35.69

Step by Step Solution

1. Step 1: Write the proportion equation
   99.83 : 149.71 = 35.69 : x
2. Step 2: Convert to fraction form
   99.83/149.71 = 35.69/x
3. Step 3: Cross multiply
   99.83x = 149.71 × 35.69
4. Step 4: Simplify right side
   99.83x = 5,343.15
5. Step 5: Solve for x
   x = 5,343.15/99.83
6. Step 6: Final answer
   x = 53.52