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Finding the Fourth Proportional to 14.27, 19.69 and 7.80

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Solution

The fourth proportional to 14.27, 19.69 and 7.80 is: 10.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.27 : 19.69 = 7.80 : x
  2. Step 2: Convert to fraction form
    14.27/19.69 = 7.80/x
  3. Step 3: Cross multiply
    14.27x = 19.69 × 7.80
  4. Step 4: Simplify right side
    14.27x = 153.49
  5. Step 5: Solve for x
    x = 153.49/14.27
  6. Step 6: Final answer
    x = 10.76

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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.