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Finding the Fourth Proportional to 67.62, 100.97 and 57.47

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Solution

The fourth proportional to 67.62, 100.97 and 57.47 is: 85.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.62 : 100.97 = 57.47 : x
  2. Step 2: Convert to fraction form
    67.62/100.97 = 57.47/x
  3. Step 3: Cross multiply
    67.62x = 100.97 × 57.47
  4. Step 4: Simplify right side
    67.62x = 5,801.95
  5. Step 5: Solve for x
    x = 5,801.95/67.62
  6. Step 6: Final answer
    x = 85.80

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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.