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Finding the Fourth Proportional to 41.72, 62.57 and 25.25

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Solution

The fourth proportional to 41.72, 62.57 and 25.25 is: 37.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.72 : 62.57 = 25.25 : x
  2. Step 2: Convert to fraction form
    41.72/62.57 = 25.25/x
  3. Step 3: Cross multiply
    41.72x = 62.57 × 25.25
  4. Step 4: Simplify right side
    41.72x = 1,579.89
  5. Step 5: Solve for x
    x = 1,579.89/41.72
  6. Step 6: Final answer
    x = 37.87

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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.