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Finding the Fourth Proportional to 144.59, 199.50 and 82.42

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Solution

The fourth proportional to 144.59, 199.50 and 82.42 is: 113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.59 : 199.50 = 82.42 : x
  2. Step 2: Convert to fraction form
    144.59/199.50 = 82.42/x
  3. Step 3: Cross multiply
    144.59x = 199.50 × 82.42
  4. Step 4: Simplify right side
    144.59x = 16,441.98
  5. Step 5: Solve for x
    x = 16,441.98/144.59
  6. Step 6: Final answer
    x = 113.72

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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.