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Finding the Fourth Proportional to 12.82, 17.70 and 11.92

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Solution

The fourth proportional to 12.82, 17.70 and 11.92 is: 16.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.82 : 17.70 = 11.92 : x
  2. Step 2: Convert to fraction form
    12.82/17.70 = 11.92/x
  3. Step 3: Cross multiply
    12.82x = 17.70 × 11.92
  4. Step 4: Simplify right side
    12.82x = 210.98
  5. Step 5: Solve for x
    x = 210.98/12.82
  6. Step 6: Final answer
    x = 16.46

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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.