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Finding the Fourth Proportional to 11.78, 16.27 and 8.56

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Solution

The fourth proportional to 11.78, 16.27 and 8.56 is: 11.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 16.27 = 8.56 : x
  2. Step 2: Convert to fraction form
    11.78/16.27 = 8.56/x
  3. Step 3: Cross multiply
    11.78x = 16.27 × 8.56
  4. Step 4: Simplify right side
    11.78x = 139.27
  5. Step 5: Solve for x
    x = 139.27/11.78
  6. Step 6: Final answer
    x = 11.82

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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.