Finding the Fourth Proportional to 99.83, 149.84 and 82.01

Step by Step Solution

1. Step 1: Write the proportion equation
   99.83 : 149.84 = 82.01 : x
2. Step 2: Convert to fraction form
   99.83/149.84 = 82.01/x
3. Step 3: Cross multiply
   99.83x = 149.84 × 82.01
4. Step 4: Simplify right side
   99.83x = 12,287.22
5. Step 5: Solve for x
   x = 12,287.22/99.83
6. Step 6: Final answer
   x = 123.09