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Finding the Fourth Proportional to 41.67, 57.47 and 31.17

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Solution

The fourth proportional to 41.67, 57.47 and 31.17 is: 42.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.67 : 57.47 = 31.17 : x
  2. Step 2: Convert to fraction form
    41.67/57.47 = 31.17/x
  3. Step 3: Cross multiply
    41.67x = 57.47 × 31.17
  4. Step 4: Simplify right side
    41.67x = 1,791.13
  5. Step 5: Solve for x
    x = 1,791.13/41.67
  6. Step 6: Final answer
    x = 42.98

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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.