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Finding the Fourth Proportional to 144.94, 200.01 and 82.77

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Solution

The fourth proportional to 144.94, 200.01 and 82.77 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.94 : 200.01 = 82.77 : x
  2. Step 2: Convert to fraction form
    144.94/200.01 = 82.77/x
  3. Step 3: Cross multiply
    144.94x = 200.01 × 82.77
  4. Step 4: Simplify right side
    144.94x = 16,553.62
  5. Step 5: Solve for x
    x = 16,553.62/144.94
  6. Step 6: Final answer
    x = 114.21

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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.