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Finding the Fourth Proportional to 14.27, 19.69 and 8.13

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Solution

The fourth proportional to 14.27, 19.69 and 8.13 is: 11.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.27 : 19.69 = 8.13 : x
  2. Step 2: Convert to fraction form
    14.27/19.69 = 8.13/x
  3. Step 3: Cross multiply
    14.27x = 19.69 × 8.13
  4. Step 4: Simplify right side
    14.27x = 160.02
  5. Step 5: Solve for x
    x = 160.02/14.27
  6. Step 6: Final answer
    x = 11.22

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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.