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Finding the Fourth Proportional to 71.62, 106.68 and 67.77

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Solution

The fourth proportional to 71.62, 106.68 and 67.77 is: 100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.62 : 106.68 = 67.77 : x
  2. Step 2: Convert to fraction form
    71.62/106.68 = 67.77/x
  3. Step 3: Cross multiply
    71.62x = 106.68 × 67.77
  4. Step 4: Simplify right side
    71.62x = 7,229.96
  5. Step 5: Solve for x
    x = 7,229.96/71.62
  6. Step 6: Final answer
    x = 100.95

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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.