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Finding the Fourth Proportional to 8.80, 12.14 and 7.65

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Solution

The fourth proportional to 8.80, 12.14 and 7.65 is: 10.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.80 : 12.14 = 7.65 : x
  2. Step 2: Convert to fraction form
    8.80/12.14 = 7.65/x
  3. Step 3: Cross multiply
    8.80x = 12.14 × 7.65
  4. Step 4: Simplify right side
    8.80x = 92.87
  5. Step 5: Solve for x
    x = 92.87/8.80
  6. Step 6: Final answer
    x = 10.55

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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.