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Finding the Fourth Proportional to 137.44, 189.36 and 119.82

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Solution

The fourth proportional to 137.44, 189.36 and 119.82 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 189.36 = 119.82 : x
  2. Step 2: Convert to fraction form
    137.44/189.36 = 119.82/x
  3. Step 3: Cross multiply
    137.44x = 189.36 × 119.82
  4. Step 4: Simplify right side
    137.44x = 22,689.12
  5. Step 5: Solve for x
    x = 22,689.12/137.44
  6. Step 6: Final answer
    x = 165.09

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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.