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Finding the Fourth Proportional to 144.82, 199.75 and 82.63

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Solution

The fourth proportional to 144.82, 199.75 and 82.63 is: 113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 199.75 = 82.63 : x
  2. Step 2: Convert to fraction form
    144.82/199.75 = 82.63/x
  3. Step 3: Cross multiply
    144.82x = 199.75 × 82.63
  4. Step 4: Simplify right side
    144.82x = 16,505.34
  5. Step 5: Solve for x
    x = 16,505.34/144.82
  6. Step 6: Final answer
    x = 113.98

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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.