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Finding the Fourth Proportional to 144.82, 199.84 and 82.66

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Solution

The fourth proportional to 144.82, 199.84 and 82.66 is: 114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 199.84 = 82.66 : x
  2. Step 2: Convert to fraction form
    144.82/199.84 = 82.66/x
  3. Step 3: Cross multiply
    144.82x = 199.84 × 82.66
  4. Step 4: Simplify right side
    144.82x = 16,517.36
  5. Step 5: Solve for x
    x = 16,517.36/144.82
  6. Step 6: Final answer
    x = 114.05

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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.