Finding the Fourth Proportional to 109.82, 164.72 and 37.67

Step by Step Solution

1. Step 1: Write the proportion equation
   109.82 : 164.72 = 37.67 : x
2. Step 2: Convert to fraction form
   109.82/164.72 = 37.67/x
3. Step 3: Cross multiply
   109.82x = 164.72 × 37.67
4. Step 4: Simplify right side
   109.82x = 6,205.00
5. Step 5: Solve for x
   x = 6,205.00/109.82
6. Step 6: Final answer
   x = 56.50