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Finding the Fourth Proportional to 113.73, 169.50 and 110.85

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Solution

The fourth proportional to 113.73, 169.50 and 110.85 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.73 : 169.50 = 110.85 : x
  2. Step 2: Convert to fraction form
    113.73/169.50 = 110.85/x
  3. Step 3: Cross multiply
    113.73x = 169.50 × 110.85
  4. Step 4: Simplify right side
    113.73x = 18,789.08
  5. Step 5: Solve for x
    x = 18,789.08/113.73
  6. Step 6: Final answer
    x = 165.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.