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Finding the Fourth Proportional to 22.88, 34.27 and 13.23

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Solution

The fourth proportional to 22.88, 34.27 and 13.23 is: 19.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.88 : 34.27 = 13.23 : x
  2. Step 2: Convert to fraction form
    22.88/34.27 = 13.23/x
  3. Step 3: Cross multiply
    22.88x = 34.27 × 13.23
  4. Step 4: Simplify right side
    22.88x = 453.43
  5. Step 5: Solve for x
    x = 453.43/22.88
  6. Step 6: Final answer
    x = 19.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.