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Finding the Fourth Proportional to 135.96, 202.79 and 122.19

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Solution

The fourth proportional to 135.96, 202.79 and 122.19 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.96 : 202.79 = 122.19 : x
  2. Step 2: Convert to fraction form
    135.96/202.79 = 122.19/x
  3. Step 3: Cross multiply
    135.96x = 202.79 × 122.19
  4. Step 4: Simplify right side
    135.96x = 24,778.30
  5. Step 5: Solve for x
    x = 24,778.30/135.96
  6. Step 6: Final answer
    x = 182.25

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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.