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Finding the Fourth Proportional to 135.14, 202.71 and 107.96

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Solution

The fourth proportional to 135.14, 202.71 and 107.96 is: 161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 202.71 = 107.96 : x
  2. Step 2: Convert to fraction form
    135.14/202.71 = 107.96/x
  3. Step 3: Cross multiply
    135.14x = 202.71 × 107.96
  4. Step 4: Simplify right side
    135.14x = 21,884.57
  5. Step 5: Solve for x
    x = 21,884.57/135.14
  6. Step 6: Final answer
    x = 161.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.