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Finding the Fourth Proportional to 144.32, 199.12 and 82.14

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Solution

The fourth proportional to 144.32, 199.12 and 82.14 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.32 : 199.12 = 82.14 : x
  2. Step 2: Convert to fraction form
    144.32/199.12 = 82.14/x
  3. Step 3: Cross multiply
    144.32x = 199.12 × 82.14
  4. Step 4: Simplify right side
    144.32x = 16,355.72
  5. Step 5: Solve for x
    x = 16,355.72/144.32
  6. Step 6: Final answer
    x = 113.33

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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.