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Finding the Fourth Proportional to 19.85, 27.39 and 11.66

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Solution

The fourth proportional to 19.85, 27.39 and 11.66 is: 16.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.85 : 27.39 = 11.66 : x
  2. Step 2: Convert to fraction form
    19.85/27.39 = 11.66/x
  3. Step 3: Cross multiply
    19.85x = 27.39 × 11.66
  4. Step 4: Simplify right side
    19.85x = 319.36
  5. Step 5: Solve for x
    x = 319.36/19.85
  6. Step 6: Final answer
    x = 16.09

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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.