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Finding the Fourth Proportional to 23.13, 31.91 and 19.71

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Solution

The fourth proportional to 23.13, 31.91 and 19.71 is: 27.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.13 : 31.91 = 19.71 : x
  2. Step 2: Convert to fraction form
    23.13/31.91 = 19.71/x
  3. Step 3: Cross multiply
    23.13x = 31.91 × 19.71
  4. Step 4: Simplify right side
    23.13x = 628.85
  5. Step 5: Solve for x
    x = 628.85/23.13
  6. Step 6: Final answer
    x = 27.19

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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.