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Finding the Fourth Proportional to 135.12, 186.49 and 84.68

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Solution

The fourth proportional to 135.12, 186.49 and 84.68 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.12 : 186.49 = 84.68 : x
  2. Step 2: Convert to fraction form
    135.12/186.49 = 84.68/x
  3. Step 3: Cross multiply
    135.12x = 186.49 × 84.68
  4. Step 4: Simplify right side
    135.12x = 15,791.85
  5. Step 5: Solve for x
    x = 15,791.85/135.12
  6. Step 6: Final answer
    x = 116.87

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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.