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Finding the Fourth Proportional to 8.69, 12.02 and 7.88

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Solution

The fourth proportional to 8.69, 12.02 and 7.88 is: 10.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.69 : 12.02 = 7.88 : x
  2. Step 2: Convert to fraction form
    8.69/12.02 = 7.88/x
  3. Step 3: Cross multiply
    8.69x = 12.02 × 7.88
  4. Step 4: Simplify right side
    8.69x = 94.72
  5. Step 5: Solve for x
    x = 94.72/8.69
  6. Step 6: Final answer
    x = 10.90

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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.