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Finding the Fourth Proportional to 31.29, 43.11 and 23.09

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Solution

The fourth proportional to 31.29, 43.11 and 23.09 is: 31.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.29 : 43.11 = 23.09 : x
  2. Step 2: Convert to fraction form
    31.29/43.11 = 23.09/x
  3. Step 3: Cross multiply
    31.29x = 43.11 × 23.09
  4. Step 4: Simplify right side
    31.29x = 995.41
  5. Step 5: Solve for x
    x = 995.41/31.29
  6. Step 6: Final answer
    x = 31.81

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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.