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Finding the Fourth Proportional to 135.78, 203.27 and 84.27

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Solution

The fourth proportional to 135.78, 203.27 and 84.27 is: 126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.78 : 203.27 = 84.27 : x
  2. Step 2: Convert to fraction form
    135.78/203.27 = 84.27/x
  3. Step 3: Cross multiply
    135.78x = 203.27 × 84.27
  4. Step 4: Simplify right side
    135.78x = 17,129.56
  5. Step 5: Solve for x
    x = 17,129.56/135.78
  6. Step 6: Final answer
    x = 126.16

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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.