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Finding the Fourth Proportional to 10.97, 15.11 and 7.73

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Solution

The fourth proportional to 10.97, 15.11 and 7.73 is: 10.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 15.11 = 7.73 : x
  2. Step 2: Convert to fraction form
    10.97/15.11 = 7.73/x
  3. Step 3: Cross multiply
    10.97x = 15.11 × 7.73
  4. Step 4: Simplify right side
    10.97x = 116.72
  5. Step 5: Solve for x
    x = 116.72/10.97
  6. Step 6: Final answer
    x = 10.65

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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.