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Finding the Fourth Proportional to 131.50, 196.99 and 80.11

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Solution

The fourth proportional to 131.50, 196.99 and 80.11 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.50 : 196.99 = 80.11 : x
  2. Step 2: Convert to fraction form
    131.50/196.99 = 80.11/x
  3. Step 3: Cross multiply
    131.50x = 196.99 × 80.11
  4. Step 4: Simplify right side
    131.50x = 15,780.87
  5. Step 5: Solve for x
    x = 15,780.87/131.50
  6. Step 6: Final answer
    x = 120.01

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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.