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Finding the Fourth Proportional to 144.27, 199.09 and 82.10

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Solution

The fourth proportional to 144.27, 199.09 and 82.10 is: 113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.27 : 199.09 = 82.10 : x
  2. Step 2: Convert to fraction form
    144.27/199.09 = 82.10/x
  3. Step 3: Cross multiply
    144.27x = 199.09 × 82.10
  4. Step 4: Simplify right side
    144.27x = 16,345.79
  5. Step 5: Solve for x
    x = 16,345.79/144.27
  6. Step 6: Final answer
    x = 113.30

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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.