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Finding the Fourth Proportional to 131.96, 197.86 and 54.96

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Solution

The fourth proportional to 131.96, 197.86 and 54.96 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.96 : 197.86 = 54.96 : x
  2. Step 2: Convert to fraction form
    131.96/197.86 = 54.96/x
  3. Step 3: Cross multiply
    131.96x = 197.86 × 54.96
  4. Step 4: Simplify right side
    131.96x = 10,874.39
  5. Step 5: Solve for x
    x = 10,874.39/131.96
  6. Step 6: Final answer
    x = 82.41

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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.