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Finding the Fourth Proportional to 41.46, 57.12 and 31.08

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Solution

The fourth proportional to 41.46, 57.12 and 31.08 is: 42.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.46 : 57.12 = 31.08 : x
  2. Step 2: Convert to fraction form
    41.46/57.12 = 31.08/x
  3. Step 3: Cross multiply
    41.46x = 57.12 × 31.08
  4. Step 4: Simplify right side
    41.46x = 1,775.29
  5. Step 5: Solve for x
    x = 1,775.29/41.46
  6. Step 6: Final answer
    x = 42.82

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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.