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Finding the Fourth Proportional to 42.90, 59.21 and 31.97

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Solution

The fourth proportional to 42.90, 59.21 and 31.97 is: 44.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.90 : 59.21 = 31.97 : x
  2. Step 2: Convert to fraction form
    42.90/59.21 = 31.97/x
  3. Step 3: Cross multiply
    42.90x = 59.21 × 31.97
  4. Step 4: Simplify right side
    42.90x = 1,892.80
  5. Step 5: Solve for x
    x = 1,892.80/42.90
  6. Step 6: Final answer
    x = 44.12

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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.