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Finding the Fourth Proportional to 41.57, 57.45 and 41.09

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Solution

The fourth proportional to 41.57, 57.45 and 41.09 is: 56.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.57 : 57.45 = 41.09 : x
  2. Step 2: Convert to fraction form
    41.57/57.45 = 41.09/x
  3. Step 3: Cross multiply
    41.57x = 57.45 × 41.09
  4. Step 4: Simplify right side
    41.57x = 2,360.33
  5. Step 5: Solve for x
    x = 2,360.33/41.57
  6. Step 6: Final answer
    x = 56.79

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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.