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Finding the Fourth Proportional to 138.85, 190.49 and 135.27

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Solution

The fourth proportional to 138.85, 190.49 and 135.27 is: 185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.85 : 190.49 = 135.27 : x
  2. Step 2: Convert to fraction form
    138.85/190.49 = 135.27/x
  3. Step 3: Cross multiply
    138.85x = 190.49 × 135.27
  4. Step 4: Simplify right side
    138.85x = 25,766.91
  5. Step 5: Solve for x
    x = 25,766.91/138.85
  6. Step 6: Final answer
    x = 185.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.