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Finding the Fourth Proportional to 131.83, 198.05 and 77.76

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Solution

The fourth proportional to 131.83, 198.05 and 77.76 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.83 : 198.05 = 77.76 : x
  2. Step 2: Convert to fraction form
    131.83/198.05 = 77.76/x
  3. Step 3: Cross multiply
    131.83x = 198.05 × 77.76
  4. Step 4: Simplify right side
    131.83x = 15,399.98
  5. Step 5: Solve for x
    x = 15,399.98/131.83
  6. Step 6: Final answer
    x = 116.82

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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.