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Finding the Fourth Proportional to 61.91, 92.38 and 54.80

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Solution

The fourth proportional to 61.91, 92.38 and 54.80 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.91 : 92.38 = 54.80 : x
  2. Step 2: Convert to fraction form
    61.91/92.38 = 54.80/x
  3. Step 3: Cross multiply
    61.91x = 92.38 × 54.80
  4. Step 4: Simplify right side
    61.91x = 5,062.42
  5. Step 5: Solve for x
    x = 5,062.42/61.91
  6. Step 6: Final answer
    x = 81.77

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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.