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Finding the Fourth Proportional to 135.33, 202.68 and 81.18

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Solution

The fourth proportional to 135.33, 202.68 and 81.18 is: 121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.33 : 202.68 = 81.18 : x
  2. Step 2: Convert to fraction form
    135.33/202.68 = 81.18/x
  3. Step 3: Cross multiply
    135.33x = 202.68 × 81.18
  4. Step 4: Simplify right side
    135.33x = 16,453.56
  5. Step 5: Solve for x
    x = 16,453.56/135.33
  6. Step 6: Final answer
    x = 121.58

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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.