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Finding the Fourth Proportional to 133.23, 198.69 and 126.05

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Solution

The fourth proportional to 133.23, 198.69 and 126.05 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.23 : 198.69 = 126.05 : x
  2. Step 2: Convert to fraction form
    133.23/198.69 = 126.05/x
  3. Step 3: Cross multiply
    133.23x = 198.69 × 126.05
  4. Step 4: Simplify right side
    133.23x = 25,043.88
  5. Step 5: Solve for x
    x = 25,043.88/133.23
  6. Step 6: Final answer
    x = 187.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.