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Finding the Fourth Proportional to 14.29, 19.80 and 14.09

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Solution

The fourth proportional to 14.29, 19.80 and 14.09 is: 19.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.29 : 19.80 = 14.09 : x
  2. Step 2: Convert to fraction form
    14.29/19.80 = 14.09/x
  3. Step 3: Cross multiply
    14.29x = 19.80 × 14.09
  4. Step 4: Simplify right side
    14.29x = 278.88
  5. Step 5: Solve for x
    x = 278.88/14.29
  6. Step 6: Final answer
    x = 19.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.