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Finding the Fourth Proportional to 144.26, 199.07 and 82.09

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Solution

The fourth proportional to 144.26, 199.07 and 82.09 is: 113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.26 : 199.07 = 82.09 : x
  2. Step 2: Convert to fraction form
    144.26/199.07 = 82.09/x
  3. Step 3: Cross multiply
    144.26x = 199.07 × 82.09
  4. Step 4: Simplify right side
    144.26x = 16,341.66
  5. Step 5: Solve for x
    x = 16,341.66/144.26
  6. Step 6: Final answer
    x = 113.28

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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.