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Finding the Fourth Proportional to 10.82, 16.22 and 8.53

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Solution

The fourth proportional to 10.82, 16.22 and 8.53 is: 12.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.82 : 16.22 = 8.53 : x
  2. Step 2: Convert to fraction form
    10.82/16.22 = 8.53/x
  3. Step 3: Cross multiply
    10.82x = 16.22 × 8.53
  4. Step 4: Simplify right side
    10.82x = 138.36
  5. Step 5: Solve for x
    x = 138.36/10.82
  6. Step 6: Final answer
    x = 12.79

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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.