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Finding the Fourth Proportional to 7.97, 12.02 and 7.76

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Solution

The fourth proportional to 7.97, 12.02 and 7.76 is: 11.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.97 : 12.02 = 7.76 : x
  2. Step 2: Convert to fraction form
    7.97/12.02 = 7.76/x
  3. Step 3: Cross multiply
    7.97x = 12.02 × 7.76
  4. Step 4: Simplify right side
    7.97x = 93.27
  5. Step 5: Solve for x
    x = 93.27/7.97
  6. Step 6: Final answer
    x = 11.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.