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Finding the Fourth Proportional to 131.36, 196.56 and 120.80

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Solution

The fourth proportional to 131.36, 196.56 and 120.80 is: 180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.36 : 196.56 = 120.80 : x
  2. Step 2: Convert to fraction form
    131.36/196.56 = 120.80/x
  3. Step 3: Cross multiply
    131.36x = 196.56 × 120.80
  4. Step 4: Simplify right side
    131.36x = 23,744.45
  5. Step 5: Solve for x
    x = 23,744.45/131.36
  6. Step 6: Final answer
    x = 180.76

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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.