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Finding the Fourth Proportional to 11.62, 17.44 and 8.06

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Solution

The fourth proportional to 11.62, 17.44 and 8.06 is: 12.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.62 : 17.44 = 8.06 : x
  2. Step 2: Convert to fraction form
    11.62/17.44 = 8.06/x
  3. Step 3: Cross multiply
    11.62x = 17.44 × 8.06
  4. Step 4: Simplify right side
    11.62x = 140.57
  5. Step 5: Solve for x
    x = 140.57/11.62
  6. Step 6: Final answer
    x = 12.10

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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.