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Finding the Fourth Proportional to 23.08, 31.84 and 12.71

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Solution

The fourth proportional to 23.08, 31.84 and 12.71 is: 17.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.08 : 31.84 = 12.71 : x
  2. Step 2: Convert to fraction form
    23.08/31.84 = 12.71/x
  3. Step 3: Cross multiply
    23.08x = 31.84 × 12.71
  4. Step 4: Simplify right side
    23.08x = 404.81
  5. Step 5: Solve for x
    x = 404.81/23.08
  6. Step 6: Final answer
    x = 17.54

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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.