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Finding the Fourth Proportional to 12.29, 16.97 and 6.84

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Solution

The fourth proportional to 12.29, 16.97 and 6.84 is: 9.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.29 : 16.97 = 6.84 : x
  2. Step 2: Convert to fraction form
    12.29/16.97 = 6.84/x
  3. Step 3: Cross multiply
    12.29x = 16.97 × 6.84
  4. Step 4: Simplify right side
    12.29x = 115.98
  5. Step 5: Solve for x
    x = 115.98/12.29
  6. Step 6: Final answer
    x = 9.43

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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.