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Finding the Fourth Proportional to 144.41, 199.29 and 82.25

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Solution

The fourth proportional to 144.41, 199.29 and 82.25 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.41 : 199.29 = 82.25 : x
  2. Step 2: Convert to fraction form
    144.41/199.29 = 82.25/x
  3. Step 3: Cross multiply
    144.41x = 199.29 × 82.25
  4. Step 4: Simplify right side
    144.41x = 16,390.30
  5. Step 5: Solve for x
    x = 16,390.30/144.41
  6. Step 6: Final answer
    x = 113.50

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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.