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Finding the Fourth Proportional to 14.14, 19.46 and 11.66

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Solution

The fourth proportional to 14.14, 19.46 and 11.66 is: 16.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.14 : 19.46 = 11.66 : x
  2. Step 2: Convert to fraction form
    14.14/19.46 = 11.66/x
  3. Step 3: Cross multiply
    14.14x = 19.46 × 11.66
  4. Step 4: Simplify right side
    14.14x = 226.90
  5. Step 5: Solve for x
    x = 226.90/14.14
  6. Step 6: Final answer
    x = 16.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.