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Finding the Fourth Proportional to 144, 198.72 and 81.82

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Solution

The fourth proportional to 144, 198.72 and 81.82 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 198.72 = 81.82 : x
  2. Step 2: Convert to fraction form
    144/198.72 = 81.82/x
  3. Step 3: Cross multiply
    144x = 198.72 × 81.82
  4. Step 4: Simplify right side
    144x = 16,259.27
  5. Step 5: Solve for x
    x = 16,259.27/144
  6. Step 6: Final answer
    x = 112.91

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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.