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Finding the Fourth Proportional to 42.13, 57.99 and 31.78

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Solution

The fourth proportional to 42.13, 57.99 and 31.78 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 57.99 = 31.78 : x
  2. Step 2: Convert to fraction form
    42.13/57.99 = 31.78/x
  3. Step 3: Cross multiply
    42.13x = 57.99 × 31.78
  4. Step 4: Simplify right side
    42.13x = 1,842.92
  5. Step 5: Solve for x
    x = 1,842.92/42.13
  6. Step 6: Final answer
    x = 43.74

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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.