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Finding the Fourth Proportional to 137.82, 190.24 and 96.38

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Solution

The fourth proportional to 137.82, 190.24 and 96.38 is: 133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 190.24 = 96.38 : x
  2. Step 2: Convert to fraction form
    137.82/190.24 = 96.38/x
  3. Step 3: Cross multiply
    137.82x = 190.24 × 96.38
  4. Step 4: Simplify right side
    137.82x = 18,334.14
  5. Step 5: Solve for x
    x = 18,334.14/137.82
  6. Step 6: Final answer
    x = 133.03

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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.