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Finding the Fourth Proportional to 135.62, 201.92 and 133.70

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Solution

The fourth proportional to 135.62, 201.92 and 133.70 is: 199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.62 : 201.92 = 133.70 : x
  2. Step 2: Convert to fraction form
    135.62/201.92 = 133.70/x
  3. Step 3: Cross multiply
    135.62x = 201.92 × 133.70
  4. Step 4: Simplify right side
    135.62x = 26,996.70
  5. Step 5: Solve for x
    x = 26,996.70/135.62
  6. Step 6: Final answer
    x = 199.06

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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.