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Finding the Fourth Proportional to 41.23, 61.75 and 25.97

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Solution

The fourth proportional to 41.23, 61.75 and 25.97 is: 38.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.23 : 61.75 = 25.97 : x
  2. Step 2: Convert to fraction form
    41.23/61.75 = 25.97/x
  3. Step 3: Cross multiply
    41.23x = 61.75 × 25.97
  4. Step 4: Simplify right side
    41.23x = 1,603.65
  5. Step 5: Solve for x
    x = 1,603.65/41.23
  6. Step 6: Final answer
    x = 38.90

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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.