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Finding the Fourth Proportional to 67.31, 92.22 and 61.14

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Solution

The fourth proportional to 67.31, 92.22 and 61.14 is: 83.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.31 : 92.22 = 61.14 : x
  2. Step 2: Convert to fraction form
    67.31/92.22 = 61.14/x
  3. Step 3: Cross multiply
    67.31x = 92.22 × 61.14
  4. Step 4: Simplify right side
    67.31x = 5,638.33
  5. Step 5: Solve for x
    x = 5,638.33/67.31
  6. Step 6: Final answer
    x = 83.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.