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Finding the Fourth Proportional to 31.27, 43.14 and 23.09

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Solution

The fourth proportional to 31.27, 43.14 and 23.09 is: 31.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.27 : 43.14 = 23.09 : x
  2. Step 2: Convert to fraction form
    31.27/43.14 = 23.09/x
  3. Step 3: Cross multiply
    31.27x = 43.14 × 23.09
  4. Step 4: Simplify right side
    31.27x = 996.10
  5. Step 5: Solve for x
    x = 996.10/31.27
  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.