Finding the Fourth Proportional to 109.47, 164.04 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   109.47 : 164.04 = 83.82 : x
2. Step 2: Convert to fraction form
   109.47/164.04 = 83.82/x
3. Step 3: Cross multiply
   109.47x = 164.04 × 83.82
4. Step 4: Simplify right side
   109.47x = 13,749.83
5. Step 5: Solve for x
   x = 13,749.83/109.47
6. Step 6: Final answer
   x = 125.60