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Finding the Fourth Proportional to 135.55, 186.90 and 80.27

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Solution

The fourth proportional to 135.55, 186.90 and 80.27 is: 110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.55 : 186.90 = 80.27 : x
  2. Step 2: Convert to fraction form
    135.55/186.90 = 80.27/x
  3. Step 3: Cross multiply
    135.55x = 186.90 × 80.27
  4. Step 4: Simplify right side
    135.55x = 15,002.98
  5. Step 5: Solve for x
    x = 15,002.98/135.55
  6. Step 6: Final answer
    x = 110.68

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