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Finding the Fourth Proportional to 41.90, 62.90 and 24.80

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Solution

The fourth proportional to 41.90, 62.90 and 24.80 is: 37.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.90 : 62.90 = 24.80 : x
  2. Step 2: Convert to fraction form
    41.90/62.90 = 24.80/x
  3. Step 3: Cross multiply
    41.90x = 62.90 × 24.80
  4. Step 4: Simplify right side
    41.90x = 1,559.92
  5. Step 5: Solve for x
    x = 1,559.92/41.90
  6. Step 6: Final answer
    x = 37.23

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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.