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Finding the Fourth Proportional to 11.66, 16.09 and 6.81

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Solution

The fourth proportional to 11.66, 16.09 and 6.81 is: 9.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.66 : 16.09 = 6.81 : x
  2. Step 2: Convert to fraction form
    11.66/16.09 = 6.81/x
  3. Step 3: Cross multiply
    11.66x = 16.09 × 6.81
  4. Step 4: Simplify right side
    11.66x = 109.46
  5. Step 5: Solve for x
    x = 109.46/11.66
  6. Step 6: Final answer
    x = 9.39

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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.