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Finding the Fourth Proportional to 11.91, 17.78 and 11.83

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Solution

The fourth proportional to 11.91, 17.78 and 11.83 is: 17.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.91 : 17.78 = 11.83 : x
  2. Step 2: Convert to fraction form
    11.91/17.78 = 11.83/x
  3. Step 3: Cross multiply
    11.91x = 17.78 × 11.83
  4. Step 4: Simplify right side
    11.91x = 210.30
  5. Step 5: Solve for x
    x = 210.30/11.91
  6. Step 6: Final answer
    x = 17.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.