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Finding the Fourth Proportional to 137.25, 189.50 and 98.37

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Solution

The fourth proportional to 137.25, 189.50 and 98.37 is: 135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 189.50 = 98.37 : x
  2. Step 2: Convert to fraction form
    137.25/189.50 = 98.37/x
  3. Step 3: Cross multiply
    137.25x = 189.50 × 98.37
  4. Step 4: Simplify right side
    137.25x = 18,640.62
  5. Step 5: Solve for x
    x = 18,640.62/137.25
  6. Step 6: Final answer
    x = 135.82

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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.