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Finding the Fourth Proportional to 135.27, 186.62 and 83.55

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Solution

The fourth proportional to 135.27, 186.62 and 83.55 is: 115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.27 : 186.62 = 83.55 : x
  2. Step 2: Convert to fraction form
    135.27/186.62 = 83.55/x
  3. Step 3: Cross multiply
    135.27x = 186.62 × 83.55
  4. Step 4: Simplify right side
    135.27x = 15,591.38
  5. Step 5: Solve for x
    x = 15,591.38/135.27
  6. Step 6: Final answer
    x = 115.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.