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Finding the Fourth Proportional to 24.89, 34.20 and 22.55

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Solution

The fourth proportional to 24.89, 34.20 and 22.55 is: 30.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.89 : 34.20 = 22.55 : x
  2. Step 2: Convert to fraction form
    24.89/34.20 = 22.55/x
  3. Step 3: Cross multiply
    24.89x = 34.20 × 22.55
  4. Step 4: Simplify right side
    24.89x = 771.04
  5. Step 5: Solve for x
    x = 771.04/24.89
  6. Step 6: Final answer
    x = 30.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.