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Finding the Fourth Proportional to 42.41, 58.49 and 31.97

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Solution

The fourth proportional to 42.41, 58.49 and 31.97 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.41 : 58.49 = 31.97 : x
  2. Step 2: Convert to fraction form
    42.41/58.49 = 31.97/x
  3. Step 3: Cross multiply
    42.41x = 58.49 × 31.97
  4. Step 4: Simplify right side
    42.41x = 1,869.77
  5. Step 5: Solve for x
    x = 1,869.77/42.41
  6. Step 6: Final answer
    x = 44.09

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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.