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Finding the Fourth Proportional to 22.74, 34.17 and 22.27

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Solution

The fourth proportional to 22.74, 34.17 and 22.27 is: 33.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.74 : 34.17 = 22.27 : x
  2. Step 2: Convert to fraction form
    22.74/34.17 = 22.27/x
  3. Step 3: Cross multiply
    22.74x = 34.17 × 22.27
  4. Step 4: Simplify right side
    22.74x = 760.80
  5. Step 5: Solve for x
    x = 760.80/22.74
  6. Step 6: Final answer
    x = 33.46

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