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Finding the Fourth Proportional to 11.66, 17.46 and 7.66

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Solution

The fourth proportional to 11.66, 17.46 and 7.66 is: 11.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.66 : 17.46 = 7.66 : x
  2. Step 2: Convert to fraction form
    11.66/17.46 = 7.66/x
  3. Step 3: Cross multiply
    11.66x = 17.46 × 7.66
  4. Step 4: Simplify right side
    11.66x = 133.74
  5. Step 5: Solve for x
    x = 133.74/11.66
  6. Step 6: Final answer
    x = 11.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.