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Finding the Fourth Proportional to 41.52, 57.29 and 25.14

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Solution

The fourth proportional to 41.52, 57.29 and 25.14 is: 34.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.52 : 57.29 = 25.14 : x
  2. Step 2: Convert to fraction form
    41.52/57.29 = 25.14/x
  3. Step 3: Cross multiply
    41.52x = 57.29 × 25.14
  4. Step 4: Simplify right side
    41.52x = 1,440.27
  5. Step 5: Solve for x
    x = 1,440.27/41.52
  6. Step 6: Final answer
    x = 34.69

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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.