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Finding the Fourth Proportional to 137.92, 190.34 and 88.94

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Solution

The fourth proportional to 137.92, 190.34 and 88.94 is: 122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 190.34 = 88.94 : x
  2. Step 2: Convert to fraction form
    137.92/190.34 = 88.94/x
  3. Step 3: Cross multiply
    137.92x = 190.34 × 88.94
  4. Step 4: Simplify right side
    137.92x = 16,928.84
  5. Step 5: Solve for x
    x = 16,928.84/137.92
  6. Step 6: Final answer
    x = 122.74

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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.