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Finding the Fourth Proportional to 67.66, 101.47 and 24.91

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Solution

The fourth proportional to 67.66, 101.47 and 24.91 is: 37.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.66 : 101.47 = 24.91 : x
  2. Step 2: Convert to fraction form
    67.66/101.47 = 24.91/x
  3. Step 3: Cross multiply
    67.66x = 101.47 × 24.91
  4. Step 4: Simplify right side
    67.66x = 2,527.62
  5. Step 5: Solve for x
    x = 2,527.62/67.66
  6. Step 6: Final answer
    x = 37.36

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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.