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Finding the Fourth Proportional to 41.53, 62.32 and 24.45

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Solution

The fourth proportional to 41.53, 62.32 and 24.45 is: 36.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.53 : 62.32 = 24.45 : x
  2. Step 2: Convert to fraction form
    41.53/62.32 = 24.45/x
  3. Step 3: Cross multiply
    41.53x = 62.32 × 24.45
  4. Step 4: Simplify right side
    41.53x = 1,523.41
  5. Step 5: Solve for x
    x = 1,523.41/41.53
  6. Step 6: Final answer
    x = 36.68

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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.