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Finding the Fourth Proportional to 144.21, 199 and 82.04

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Solution

The fourth proportional to 144.21, 199 and 82.04 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.21 : 199 = 82.04 : x
  2. Step 2: Convert to fraction form
    144.21/199 = 82.04/x
  3. Step 3: Cross multiply
    144.21x = 199 × 82.04
  4. Step 4: Simplify right side
    144.21x = 16,325.96
  5. Step 5: Solve for x
    x = 16,325.96/144.21
  6. Step 6: Final answer
    x = 113.21

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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.