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Finding the Fourth Proportional to 24.22, 36.17 and 22.84

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Solution

The fourth proportional to 24.22, 36.17 and 22.84 is: 34.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.22 : 36.17 = 22.84 : x
  2. Step 2: Convert to fraction form
    24.22/36.17 = 22.84/x
  3. Step 3: Cross multiply
    24.22x = 36.17 × 22.84
  4. Step 4: Simplify right side
    24.22x = 826.12
  5. Step 5: Solve for x
    x = 826.12/24.22
  6. Step 6: Final answer
    x = 34.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.