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Finding the Fourth Proportional to 14.12, 19.48 and 11.66

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Solution

The fourth proportional to 14.12, 19.48 and 11.66 is: 16.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.12 : 19.48 = 11.66 : x
  2. Step 2: Convert to fraction form
    14.12/19.48 = 11.66/x
  3. Step 3: Cross multiply
    14.12x = 19.48 × 11.66
  4. Step 4: Simplify right side
    14.12x = 227.14
  5. Step 5: Solve for x
    x = 227.14/14.12
  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.