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Finding the Fourth Proportional to 137.99, 190.42 and 106.88

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Solution

The fourth proportional to 137.99, 190.42 and 106.88 is: 147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.99 : 190.42 = 106.88 : x
  2. Step 2: Convert to fraction form
    137.99/190.42 = 106.88/x
  3. Step 3: Cross multiply
    137.99x = 190.42 × 106.88
  4. Step 4: Simplify right side
    137.99x = 20,350.87
  5. Step 5: Solve for x
    x = 20,350.87/137.99
  6. Step 6: Final answer
    x = 147.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.