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Finding the Fourth Proportional to 71.75, 106.92 and 69.77

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Solution

The fourth proportional to 71.75, 106.92 and 69.77 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.75 : 106.92 = 69.77 : x
  2. Step 2: Convert to fraction form
    71.75/106.92 = 69.77/x
  3. Step 3: Cross multiply
    71.75x = 106.92 × 69.77
  4. Step 4: Simplify right side
    71.75x = 7,459.67
  5. Step 5: Solve for x
    x = 7,459.67/71.75
  6. Step 6: Final answer
    x = 103.97

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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.