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Finding the Fourth Proportional to 144.65, 199.60 and 82.49

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Solution

The fourth proportional to 144.65, 199.60 and 82.49 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.65 : 199.60 = 82.49 : x
  2. Step 2: Convert to fraction form
    144.65/199.60 = 82.49/x
  3. Step 3: Cross multiply
    144.65x = 199.60 × 82.49
  4. Step 4: Simplify right side
    144.65x = 16,465.83
  5. Step 5: Solve for x
    x = 16,465.83/144.65
  6. Step 6: Final answer
    x = 113.83

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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.