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Finding the Fourth Proportional to 11.54, 15.92 and 7.66

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Solution

The fourth proportional to 11.54, 15.92 and 7.66 is: 10.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.54 : 15.92 = 7.66 : x
  2. Step 2: Convert to fraction form
    11.54/15.92 = 7.66/x
  3. Step 3: Cross multiply
    11.54x = 15.92 × 7.66
  4. Step 4: Simplify right side
    11.54x = 121.93
  5. Step 5: Solve for x
    x = 121.93/11.54
  6. Step 6: Final answer
    x = 10.56

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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.