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Finding the Fourth Proportional to 67.71, 93.46 and 58.47

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Solution

The fourth proportional to 67.71, 93.46 and 58.47 is: 80.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.71 : 93.46 = 58.47 : x
  2. Step 2: Convert to fraction form
    67.71/93.46 = 58.47/x
  3. Step 3: Cross multiply
    67.71x = 93.46 × 58.47
  4. Step 4: Simplify right side
    67.71x = 5,464.61
  5. Step 5: Solve for x
    x = 5,464.61/67.71
  6. Step 6: Final answer
    x = 80.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.