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Finding the Fourth Proportional to 113.80, 169.92 and 93.55

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Solution

The fourth proportional to 113.80, 169.92 and 93.55 is: 139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.80 : 169.92 = 93.55 : x
  2. Step 2: Convert to fraction form
    113.80/169.92 = 93.55/x
  3. Step 3: Cross multiply
    113.80x = 169.92 × 93.55
  4. Step 4: Simplify right side
    113.80x = 15,896.02
  5. Step 5: Solve for x
    x = 15,896.02/113.80
  6. Step 6: Final answer
    x = 139.68

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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.