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Finding the Fourth Proportional to 22.69, 31.33 and 13.49

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Solution

The fourth proportional to 22.69, 31.33 and 13.49 is: 18.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.69 : 31.33 = 13.49 : x
  2. Step 2: Convert to fraction form
    22.69/31.33 = 13.49/x
  3. Step 3: Cross multiply
    22.69x = 31.33 × 13.49
  4. Step 4: Simplify right side
    22.69x = 422.55
  5. Step 5: Solve for x
    x = 422.55/22.69
  6. Step 6: Final answer
    x = 18.62

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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.