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Finding the Fourth Proportional to 14.14, 21.25 and 12.47

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Solution

The fourth proportional to 14.14, 21.25 and 12.47 is: 18.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.14 : 21.25 = 12.47 : x
  2. Step 2: Convert to fraction form
    14.14/21.25 = 12.47/x
  3. Step 3: Cross multiply
    14.14x = 21.25 × 12.47
  4. Step 4: Simplify right side
    14.14x = 264.99
  5. Step 5: Solve for x
    x = 264.99/14.14
  6. Step 6: Final answer
    x = 18.74

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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.