Finding the Fourth Proportional to 109.83, 164.69 and 48.98

Step by Step Solution

1. Step 1: Write the proportion equation
   109.83 : 164.69 = 48.98 : x
2. Step 2: Convert to fraction form
   109.83/164.69 = 48.98/x
3. Step 3: Cross multiply
   109.83x = 164.69 × 48.98
4. Step 4: Simplify right side
   109.83x = 8,066.52
5. Step 5: Solve for x
   x = 8,066.52/109.83
6. Step 6: Final answer
   x = 73.45