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Finding the Fourth Proportional to 144.74, 199.71 and 82.55

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Solution

The fourth proportional to 144.74, 199.71 and 82.55 is: 113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.74 : 199.71 = 82.55 : x
  2. Step 2: Convert to fraction form
    144.74/199.71 = 82.55/x
  3. Step 3: Cross multiply
    144.74x = 199.71 × 82.55
  4. Step 4: Simplify right side
    144.74x = 16,486.06
  5. Step 5: Solve for x
    x = 16,486.06/144.74
  6. Step 6: Final answer
    x = 113.90

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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.