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Finding the Fourth Proportional to 144.69, 199.64 and 82.53

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Solution

The fourth proportional to 144.69, 199.64 and 82.53 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.69 : 199.64 = 82.53 : x
  2. Step 2: Convert to fraction form
    144.69/199.64 = 82.53/x
  3. Step 3: Cross multiply
    144.69x = 199.64 × 82.53
  4. Step 4: Simplify right side
    144.69x = 16,475.88
  5. Step 5: Solve for x
    x = 16,475.88/144.69
  6. Step 6: Final answer
    x = 113.87

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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.