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Finding the Fourth Proportional to 137.89, 190.07 and 115.75

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Solution

The fourth proportional to 137.89, 190.07 and 115.75 is: 159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.89 : 190.07 = 115.75 : x
  2. Step 2: Convert to fraction form
    137.89/190.07 = 115.75/x
  3. Step 3: Cross multiply
    137.89x = 190.07 × 115.75
  4. Step 4: Simplify right side
    137.89x = 22,000.60
  5. Step 5: Solve for x
    x = 22,000.60/137.89
  6. Step 6: Final answer
    x = 159.55

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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.