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Finding the Fourth Proportional to 144.31, 199.14 and 82.14

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Solution

The fourth proportional to 144.31, 199.14 and 82.14 is: 113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.31 : 199.14 = 82.14 : x
  2. Step 2: Convert to fraction form
    144.31/199.14 = 82.14/x
  3. Step 3: Cross multiply
    144.31x = 199.14 × 82.14
  4. Step 4: Simplify right side
    144.31x = 16,357.15
  5. Step 5: Solve for x
    x = 16,357.15/144.31
  6. Step 6: Final answer
    x = 113.35

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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.