Finding the Fourth Proportional to 99.82, 149.72 and 31.35

Step by Step Solution

1. Step 1: Write the proportion equation
   99.82 : 149.72 = 31.35 : x
2. Step 2: Convert to fraction form
   99.82/149.72 = 31.35/x
3. Step 3: Cross multiply
   99.82x = 149.72 × 31.35
4. Step 4: Simplify right side
   99.82x = 4,692.82
5. Step 5: Solve for x
   x = 4,692.82/99.82
6. Step 6: Final answer
   x = 47.02