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Finding the Fourth Proportional to 137.90, 207.12 and 119.54

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Solution

The fourth proportional to 137.90, 207.12 and 119.54 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 207.12 = 119.54 : x
  2. Step 2: Convert to fraction form
    137.90/207.12 = 119.54/x
  3. Step 3: Cross multiply
    137.90x = 207.12 × 119.54
  4. Step 4: Simplify right side
    137.90x = 24,759.12
  5. Step 5: Solve for x
    x = 24,759.12/137.90
  6. Step 6: Final answer
    x = 179.54

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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.