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Finding the Fourth Proportional to 137.73, 190.10 and 94.08

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Solution

The fourth proportional to 137.73, 190.10 and 94.08 is: 129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.73 : 190.10 = 94.08 : x
  2. Step 2: Convert to fraction form
    137.73/190.10 = 94.08/x
  3. Step 3: Cross multiply
    137.73x = 190.10 × 94.08
  4. Step 4: Simplify right side
    137.73x = 17,884.14
  5. Step 5: Solve for x
    x = 17,884.14/137.73
  6. Step 6: Final answer
    x = 129.85

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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.