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Finding the Fourth Proportional to 137.87, 190.14 and 106.86

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Solution

The fourth proportional to 137.87, 190.14 and 106.86 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.87 : 190.14 = 106.86 : x
  2. Step 2: Convert to fraction form
    137.87/190.14 = 106.86/x
  3. Step 3: Cross multiply
    137.87x = 190.14 × 106.86
  4. Step 4: Simplify right side
    137.87x = 20,318.36
  5. Step 5: Solve for x
    x = 20,318.36/137.87
  6. Step 6: Final answer
    x = 147.37

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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.