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Finding the Fourth Proportional to 37.82, 52.18 and 23.09

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Solution

The fourth proportional to 37.82, 52.18 and 23.09 is: 31.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.82 : 52.18 = 23.09 : x
  2. Step 2: Convert to fraction form
    37.82/52.18 = 23.09/x
  3. Step 3: Cross multiply
    37.82x = 52.18 × 23.09
  4. Step 4: Simplify right side
    37.82x = 1,204.61
  5. Step 5: Solve for x
    x = 1,204.61/37.82
  6. Step 6: Final answer
    x = 31.85

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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.