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Finding the Fourth Proportional to 137.73, 206.37 and 94.35

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Solution

The fourth proportional to 137.73, 206.37 and 94.35 is: 141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.73 : 206.37 = 94.35 : x
  2. Step 2: Convert to fraction form
    137.73/206.37 = 94.35/x
  3. Step 3: Cross multiply
    137.73x = 206.37 × 94.35
  4. Step 4: Simplify right side
    137.73x = 19,471.01
  5. Step 5: Solve for x
    x = 19,471.01/137.73
  6. Step 6: Final answer
    x = 141.37

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