Finding the Fourth Proportional to 99.82, 149.74 and 31.33

Step by Step Solution

1. Step 1: Write the proportion equation
   99.82 : 149.74 = 31.33 : x
2. Step 2: Convert to fraction form
   99.82/149.74 = 31.33/x
3. Step 3: Cross multiply
   99.82x = 149.74 × 31.33
4. Step 4: Simplify right side
   99.82x = 4,690.90
5. Step 5: Solve for x
   x = 4,690.90/99.82
6. Step 6: Final answer
   x = 46.99