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Finding the Fourth Proportional to 8.82, 12.22 and 8.64

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Solution

The fourth proportional to 8.82, 12.22 and 8.64 is: 11.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.82 : 12.22 = 8.64 : x
  2. Step 2: Convert to fraction form
    8.82/12.22 = 8.64/x
  3. Step 3: Cross multiply
    8.82x = 12.22 × 8.64
  4. Step 4: Simplify right side
    8.82x = 105.56
  5. Step 5: Solve for x
    x = 105.56/8.82
  6. Step 6: Final answer
    x = 11.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.