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Finding the Fourth Proportional to 8.65, 11.92 and 8.14

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Solution

The fourth proportional to 8.65, 11.92 and 8.14 is: 11.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.65 : 11.92 = 8.14 : x
  2. Step 2: Convert to fraction form
    8.65/11.92 = 8.14/x
  3. Step 3: Cross multiply
    8.65x = 11.92 × 8.14
  4. Step 4: Simplify right side
    8.65x = 97.03
  5. Step 5: Solve for x
    x = 97.03/8.65
  6. Step 6: Final answer
    x = 11.22

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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.