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Finding the Fourth Proportional to 135.05, 201.41 and 122.09

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Solution

The fourth proportional to 135.05, 201.41 and 122.09 is: 182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.05 : 201.41 = 122.09 : x
  2. Step 2: Convert to fraction form
    135.05/201.41 = 122.09/x
  3. Step 3: Cross multiply
    135.05x = 201.41 × 122.09
  4. Step 4: Simplify right side
    135.05x = 24,590.15
  5. Step 5: Solve for x
    x = 24,590.15/135.05
  6. Step 6: Final answer
    x = 182.08

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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.