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Finding the Fourth Proportional to 134.20, 201.30 and 119.80

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Solution

The fourth proportional to 134.20, 201.30 and 119.80 is: 179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 201.30 = 119.80 : x
  2. Step 2: Convert to fraction form
    134.20/201.30 = 119.80/x
  3. Step 3: Cross multiply
    134.20x = 201.30 × 119.80
  4. Step 4: Simplify right side
    134.20x = 24,115.74
  5. Step 5: Solve for x
    x = 24,115.74/134.20
  6. Step 6: Final answer
    x = 179.70

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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.