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Finding the Fourth Proportional to 41.92, 57.85 and 31.57

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Solution

The fourth proportional to 41.92, 57.85 and 31.57 is: 43.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.92 : 57.85 = 31.57 : x
  2. Step 2: Convert to fraction form
    41.92/57.85 = 31.57/x
  3. Step 3: Cross multiply
    41.92x = 57.85 × 31.57
  4. Step 4: Simplify right side
    41.92x = 1,826.10
  5. Step 5: Solve for x
    x = 1,826.10/41.92
  6. Step 6: Final answer
    x = 43.56

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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.