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Finding the Fourth Proportional to 41.69, 57.49 and 37.14

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Solution

The fourth proportional to 41.69, 57.49 and 37.14 is: 51.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.69 : 57.49 = 37.14 : x
  2. Step 2: Convert to fraction form
    41.69/57.49 = 37.14/x
  3. Step 3: Cross multiply
    41.69x = 57.49 × 37.14
  4. Step 4: Simplify right side
    41.69x = 2,134.87
  5. Step 5: Solve for x
    x = 2,134.87/41.69
  6. Step 6: Final answer
    x = 51.21

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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.