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Finding the Fourth Proportional to 67.28, 92.82 and 41.42

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Solution

The fourth proportional to 67.28, 92.82 and 41.42 is: 57.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.28 : 92.82 = 41.42 : x
  2. Step 2: Convert to fraction form
    67.28/92.82 = 41.42/x
  3. Step 3: Cross multiply
    67.28x = 92.82 × 41.42
  4. Step 4: Simplify right side
    67.28x = 3,844.60
  5. Step 5: Solve for x
    x = 3,844.60/67.28
  6. Step 6: Final answer
    x = 57.14

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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.