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Finding the Fourth Proportional to 131.96, 198.04 and 50.82

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Solution

The fourth proportional to 131.96, 198.04 and 50.82 is: 76.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.96 : 198.04 = 50.82 : x
  2. Step 2: Convert to fraction form
    131.96/198.04 = 50.82/x
  3. Step 3: Cross multiply
    131.96x = 198.04 × 50.82
  4. Step 4: Simplify right side
    131.96x = 10,064.39
  5. Step 5: Solve for x
    x = 10,064.39/131.96
  6. Step 6: Final answer
    x = 76.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.