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Finding the Fourth Proportional to 14.44, 19.83 and 13.09

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Solution

The fourth proportional to 14.44, 19.83 and 13.09 is: 17.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.44 : 19.83 = 13.09 : x
  2. Step 2: Convert to fraction form
    14.44/19.83 = 13.09/x
  3. Step 3: Cross multiply
    14.44x = 19.83 × 13.09
  4. Step 4: Simplify right side
    14.44x = 259.57
  5. Step 5: Solve for x
    x = 259.57/14.44
  6. Step 6: Final answer
    x = 17.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.