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Finding the Fourth Proportional to 67.29, 92.84 and 42.71

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Solution

The fourth proportional to 67.29, 92.84 and 42.71 is: 58.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.29 : 92.84 = 42.71 : x
  2. Step 2: Convert to fraction form
    67.29/92.84 = 42.71/x
  3. Step 3: Cross multiply
    67.29x = 92.84 × 42.71
  4. Step 4: Simplify right side
    67.29x = 3,965.20
  5. Step 5: Solve for x
    x = 3,965.20/67.29
  6. Step 6: Final answer
    x = 58.93

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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.