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Finding the Fourth Proportional to 67.10, 92.54 and 39.47

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Solution

The fourth proportional to 67.10, 92.54 and 39.47 is: 54.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.10 : 92.54 = 39.47 : x
  2. Step 2: Convert to fraction form
    67.10/92.54 = 39.47/x
  3. Step 3: Cross multiply
    67.10x = 92.54 × 39.47
  4. Step 4: Simplify right side
    67.10x = 3,652.36
  5. Step 5: Solve for x
    x = 3,652.36/67.10
  6. Step 6: Final answer
    x = 54.43

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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.