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Finding the Fourth Proportional to 11.68, 16.09 and 8.57

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Solution

The fourth proportional to 11.68, 16.09 and 8.57 is: 11.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.68 : 16.09 = 8.57 : x
  2. Step 2: Convert to fraction form
    11.68/16.09 = 8.57/x
  3. Step 3: Cross multiply
    11.68x = 16.09 × 8.57
  4. Step 4: Simplify right side
    11.68x = 137.89
  5. Step 5: Solve for x
    x = 137.89/11.68
  6. Step 6: Final answer
    x = 11.81

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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.