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Finding the Fourth Proportional to 131.33, 196.74 and 80.00

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Solution

The fourth proportional to 131.33, 196.74 and 80.00 is: 119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.33 : 196.74 = 80.00 : x
  2. Step 2: Convert to fraction form
    131.33/196.74 = 80.00/x
  3. Step 3: Cross multiply
    131.33x = 196.74 × 80.00
  4. Step 4: Simplify right side
    131.33x = 15,737.82
  5. Step 5: Solve for x
    x = 15,737.82/131.33
  6. Step 6: Final answer
    x = 119.84

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