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Finding the Fourth Proportional to 16.82, 23.22 and 12.24

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Solution

The fourth proportional to 16.82, 23.22 and 12.24 is: 16.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.82 : 23.22 = 12.24 : x
  2. Step 2: Convert to fraction form
    16.82/23.22 = 12.24/x
  3. Step 3: Cross multiply
    16.82x = 23.22 × 12.24
  4. Step 4: Simplify right side
    16.82x = 284.21
  5. Step 5: Solve for x
    x = 284.21/16.82
  6. Step 6: Final answer
    x = 16.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.