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Finding the Fourth Proportional to 67.22, 92.82 and 61.76

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Solution

The fourth proportional to 67.22, 92.82 and 61.76 is: 85.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.22 : 92.82 = 61.76 : x
  2. Step 2: Convert to fraction form
    67.22/92.82 = 61.76/x
  3. Step 3: Cross multiply
    67.22x = 92.82 × 61.76
  4. Step 4: Simplify right side
    67.22x = 5,732.56
  5. Step 5: Solve for x
    x = 5,732.56/67.22
  6. Step 6: Final answer
    x = 85.28

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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.