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Finding the Fourth Proportional to 137.96, 190.28 and 88.85

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Solution

The fourth proportional to 137.96, 190.28 and 88.85 is: 122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 190.28 = 88.85 : x
  2. Step 2: Convert to fraction form
    137.96/190.28 = 88.85/x
  3. Step 3: Cross multiply
    137.96x = 190.28 × 88.85
  4. Step 4: Simplify right side
    137.96x = 16,906.38
  5. Step 5: Solve for x
    x = 16,906.38/137.96
  6. Step 6: Final answer
    x = 122.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.