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Finding the Fourth Proportional to 137.70, 189.81 and 108.54

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Solution

The fourth proportional to 137.70, 189.81 and 108.54 is: 149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 189.81 = 108.54 : x
  2. Step 2: Convert to fraction form
    137.70/189.81 = 108.54/x
  3. Step 3: Cross multiply
    137.70x = 189.81 × 108.54
  4. Step 4: Simplify right side
    137.70x = 20,601.98
  5. Step 5: Solve for x
    x = 20,601.98/137.70
  6. Step 6: Final answer
    x = 149.61

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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.