Finding the Fourth Proportional to 99.82, 149.72 and 35.65

Step by Step Solution

1. Step 1: Write the proportion equation
   99.82 : 149.72 = 35.65 : x
2. Step 2: Convert to fraction form
   99.82/149.72 = 35.65/x
3. Step 3: Cross multiply
   99.82x = 149.72 × 35.65
4. Step 4: Simplify right side
   99.82x = 5,336.77
5. Step 5: Solve for x
   x = 5,336.77/99.82
6. Step 6: Final answer
   x = 53.47