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Finding the Fourth Proportional to 24.24, 36.28 and 22.76

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Solution

The fourth proportional to 24.24, 36.28 and 22.76 is: 34.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.24 : 36.28 = 22.76 : x
  2. Step 2: Convert to fraction form
    24.24/36.28 = 22.76/x
  3. Step 3: Cross multiply
    24.24x = 36.28 × 22.76
  4. Step 4: Simplify right side
    24.24x = 825.73
  5. Step 5: Solve for x
    x = 825.73/24.24
  6. Step 6: Final answer
    x = 34.06

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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.