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Finding the Fourth Proportional to 67.77, 101.61 and 27.14

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Solution

The fourth proportional to 67.77, 101.61 and 27.14 is: 40.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.77 : 101.61 = 27.14 : x
  2. Step 2: Convert to fraction form
    67.77/101.61 = 27.14/x
  3. Step 3: Cross multiply
    67.77x = 101.61 × 27.14
  4. Step 4: Simplify right side
    67.77x = 2,757.95
  5. Step 5: Solve for x
    x = 2,757.95/67.77
  6. Step 6: Final answer
    x = 40.70

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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.