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Finding the Fourth Proportional to 41.61, 62.31 and 34.83

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Solution

The fourth proportional to 41.61, 62.31 and 34.83 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.61 : 62.31 = 34.83 : x
  2. Step 2: Convert to fraction form
    41.61/62.31 = 34.83/x
  3. Step 3: Cross multiply
    41.61x = 62.31 × 34.83
  4. Step 4: Simplify right side
    41.61x = 2,170.26
  5. Step 5: Solve for x
    x = 2,170.26/41.61
  6. Step 6: Final answer
    x = 52.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.