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Finding the Fourth Proportional to 24.89, 34.22 and 22.43

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Solution

The fourth proportional to 24.89, 34.22 and 22.43 is: 30.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.89 : 34.22 = 22.43 : x
  2. Step 2: Convert to fraction form
    24.89/34.22 = 22.43/x
  3. Step 3: Cross multiply
    24.89x = 34.22 × 22.43
  4. Step 4: Simplify right side
    24.89x = 767.70
  5. Step 5: Solve for x
    x = 767.70/24.89
  6. Step 6: Final answer
    x = 30.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.