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Finding the Fourth Proportional to 61.72, 92.12 and 54.12

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Solution

The fourth proportional to 61.72, 92.12 and 54.12 is: 80.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.72 : 92.12 = 54.12 : x
  2. Step 2: Convert to fraction form
    61.72/92.12 = 54.12/x
  3. Step 3: Cross multiply
    61.72x = 92.12 × 54.12
  4. Step 4: Simplify right side
    61.72x = 4,985.53
  5. Step 5: Solve for x
    x = 4,985.53/61.72
  6. Step 6: Final answer
    x = 80.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.