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Finding the Fourth Proportional to 41.46, 57.12 and 31.74

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Solution

The fourth proportional to 41.46, 57.12 and 31.74 is: 43.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.46 : 57.12 = 31.74 : x
  2. Step 2: Convert to fraction form
    41.46/57.12 = 31.74/x
  3. Step 3: Cross multiply
    41.46x = 57.12 × 31.74
  4. Step 4: Simplify right side
    41.46x = 1,812.99
  5. Step 5: Solve for x
    x = 1,812.99/41.46
  6. Step 6: Final answer
    x = 43.73

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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.