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Finding the Fourth Proportional to 83.85, 125.20 and 68.66

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Solution

The fourth proportional to 83.85, 125.20 and 68.66 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.85 : 125.20 = 68.66 : x
  2. Step 2: Convert to fraction form
    83.85/125.20 = 68.66/x
  3. Step 3: Cross multiply
    83.85x = 125.20 × 68.66
  4. Step 4: Simplify right side
    83.85x = 8,596.16
  5. Step 5: Solve for x
    x = 8,596.16/83.85
  6. Step 6: Final answer
    x = 102.52

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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.