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Finding the Fourth Proportional to 113.39, 169.71 and 82.91

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Solution

The fourth proportional to 113.39, 169.71 and 82.91 is: 124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.39 : 169.71 = 82.91 : x
  2. Step 2: Convert to fraction form
    113.39/169.71 = 82.91/x
  3. Step 3: Cross multiply
    113.39x = 169.71 × 82.91
  4. Step 4: Simplify right side
    113.39x = 14,069.81
  5. Step 5: Solve for x
    x = 14,069.81/113.39
  6. Step 6: Final answer
    x = 124.09

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Why These Related Problems?

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