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Finding the Fourth Proportional to 12.82, 19.16 and 9.97

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Solution

The fourth proportional to 12.82, 19.16 and 9.97 is: 14.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.82 : 19.16 = 9.97 : x
  2. Step 2: Convert to fraction form
    12.82/19.16 = 9.97/x
  3. Step 3: Cross multiply
    12.82x = 19.16 × 9.97
  4. Step 4: Simplify right side
    12.82x = 191.03
  5. Step 5: Solve for x
    x = 191.03/12.82
  6. Step 6: Final answer
    x = 14.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.