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Finding the Fourth Proportional to 14.29, 19.69 and 12.23

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Solution

The fourth proportional to 14.29, 19.69 and 12.23 is: 16.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.29 : 19.69 = 12.23 : x
  2. Step 2: Convert to fraction form
    14.29/19.69 = 12.23/x
  3. Step 3: Cross multiply
    14.29x = 19.69 × 12.23
  4. Step 4: Simplify right side
    14.29x = 240.81
  5. Step 5: Solve for x
    x = 240.81/14.29
  6. Step 6: Final answer
    x = 16.86

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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.