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Finding the Fourth Proportional to 41.74, 57.59 and 25.14

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Solution

The fourth proportional to 41.74, 57.59 and 25.14 is: 34.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.74 : 57.59 = 25.14 : x
  2. Step 2: Convert to fraction form
    41.74/57.59 = 25.14/x
  3. Step 3: Cross multiply
    41.74x = 57.59 × 25.14
  4. Step 4: Simplify right side
    41.74x = 1,447.52
  5. Step 5: Solve for x
    x = 1,447.52/41.74
  6. Step 6: Final answer
    x = 34.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.