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Finding the Fourth Proportional to 83.77, 125.72 and 68.68

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Solution

The fourth proportional to 83.77, 125.72 and 68.68 is: 103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.77 : 125.72 = 68.68 : x
  2. Step 2: Convert to fraction form
    83.77/125.72 = 68.68/x
  3. Step 3: Cross multiply
    83.77x = 125.72 × 68.68
  4. Step 4: Simplify right side
    83.77x = 8,634.52
  5. Step 5: Solve for x
    x = 8,634.52/83.77
  6. Step 6: Final answer
    x = 103.08

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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.