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Finding the Fourth Proportional to 12.82, 19.21 and 11.61

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Solution

The fourth proportional to 12.82, 19.21 and 11.61 is: 17.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.82 : 19.21 = 11.61 : x
  2. Step 2: Convert to fraction form
    12.82/19.21 = 11.61/x
  3. Step 3: Cross multiply
    12.82x = 19.21 × 11.61
  4. Step 4: Simplify right side
    12.82x = 223.03
  5. Step 5: Solve for x
    x = 223.03/12.82
  6. Step 6: Final answer
    x = 17.40

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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.