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Finding the Fourth Proportional to 41.23, 61.78 and 24.10

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Solution

The fourth proportional to 41.23, 61.78 and 24.10 is: 36.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.23 : 61.78 = 24.10 : x
  2. Step 2: Convert to fraction form
    41.23/61.78 = 24.10/x
  3. Step 3: Cross multiply
    41.23x = 61.78 × 24.10
  4. Step 4: Simplify right side
    41.23x = 1,488.73
  5. Step 5: Solve for x
    x = 1,488.73/41.23
  6. Step 6: Final answer
    x = 36.11

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