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Finding the Fourth Proportional to 61.52, 84.96 and 54.24

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Solution

The fourth proportional to 61.52, 84.96 and 54.24 is: 74.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.52 : 84.96 = 54.24 : x
  2. Step 2: Convert to fraction form
    61.52/84.96 = 54.24/x
  3. Step 3: Cross multiply
    61.52x = 84.96 × 54.24
  4. Step 4: Simplify right side
    61.52x = 4,608.23
  5. Step 5: Solve for x
    x = 4,608.23/61.52
  6. Step 6: Final answer
    x = 74.91

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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.