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Finding the Fourth Proportional to 41.07, 61.54 and 25.87

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Solution

The fourth proportional to 41.07, 61.54 and 25.87 is: 38.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.07 : 61.54 = 25.87 : x
  2. Step 2: Convert to fraction form
    41.07/61.54 = 25.87/x
  3. Step 3: Cross multiply
    41.07x = 61.54 × 25.87
  4. Step 4: Simplify right side
    41.07x = 1,592.04
  5. Step 5: Solve for x
    x = 1,592.04/41.07
  6. Step 6: Final answer
    x = 38.76

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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.