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Finding the Fourth Proportional to 22.31, 33.46 and 13.27

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Solution

The fourth proportional to 22.31, 33.46 and 13.27 is: 19.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.31 : 33.46 = 13.27 : x
  2. Step 2: Convert to fraction form
    22.31/33.46 = 13.27/x
  3. Step 3: Cross multiply
    22.31x = 33.46 × 13.27
  4. Step 4: Simplify right side
    22.31x = 443.90
  5. Step 5: Solve for x
    x = 443.90/22.31
  6. Step 6: Final answer
    x = 19.90

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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.