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Finding the Fourth Proportional to 110.87, 166.46 and 72.44

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Solution

The fourth proportional to 110.87, 166.46 and 72.44 is: 108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.87 : 166.46 = 72.44 : x
  2. Step 2: Convert to fraction form
    110.87/166.46 = 72.44/x
  3. Step 3: Cross multiply
    110.87x = 166.46 × 72.44
  4. Step 4: Simplify right side
    110.87x = 12,058.73
  5. Step 5: Solve for x
    x = 12,058.73/110.87
  6. Step 6: Final answer
    x = 108.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.