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Finding the Fourth Proportional to 23.91, 32.97 and 22.69

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Solution

The fourth proportional to 23.91, 32.97 and 22.69 is: 31.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.91 : 32.97 = 22.69 : x
  2. Step 2: Convert to fraction form
    23.91/32.97 = 22.69/x
  3. Step 3: Cross multiply
    23.91x = 32.97 × 22.69
  4. Step 4: Simplify right side
    23.91x = 748.09
  5. Step 5: Solve for x
    x = 748.09/23.91
  6. Step 6: Final answer
    x = 31.29

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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.