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Finding the Fourth Proportional to 61.24, 84.56 and 41.88

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Solution

The fourth proportional to 61.24, 84.56 and 41.88 is: 57.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.24 : 84.56 = 41.88 : x
  2. Step 2: Convert to fraction form
    61.24/84.56 = 41.88/x
  3. Step 3: Cross multiply
    61.24x = 84.56 × 41.88
  4. Step 4: Simplify right side
    61.24x = 3,541.37
  5. Step 5: Solve for x
    x = 3,541.37/61.24
  6. Step 6: Final answer
    x = 57.83

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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.