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Finding the Fourth Proportional to 83.12, 125.18 and 69.68

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Solution

The fourth proportional to 83.12, 125.18 and 69.68 is: 104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.12 : 125.18 = 69.68 : x
  2. Step 2: Convert to fraction form
    83.12/125.18 = 69.68/x
  3. Step 3: Cross multiply
    83.12x = 125.18 × 69.68
  4. Step 4: Simplify right side
    83.12x = 8,722.54
  5. Step 5: Solve for x
    x = 8,722.54/83.12
  6. Step 6: Final answer
    x = 104.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.