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Finding the Fourth Proportional to 41.57, 62.31 and 25.50

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Solution

The fourth proportional to 41.57, 62.31 and 25.50 is: 38.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.57 : 62.31 = 25.50 : x
  2. Step 2: Convert to fraction form
    41.57/62.31 = 25.50/x
  3. Step 3: Cross multiply
    41.57x = 62.31 × 25.50
  4. Step 4: Simplify right side
    41.57x = 1,588.97
  5. Step 5: Solve for x
    x = 1,588.97/41.57
  6. Step 6: Final answer
    x = 38.23

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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.