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Finding the Fourth Proportional to 137.12, 190.74 and 134.48

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Solution

The fourth proportional to 137.12, 190.74 and 134.48 is: 187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 190.74 = 134.48 : x
  2. Step 2: Convert to fraction form
    137.12/190.74 = 134.48/x
  3. Step 3: Cross multiply
    137.12x = 190.74 × 134.48
  4. Step 4: Simplify right side
    137.12x = 25,650.72
  5. Step 5: Solve for x
    x = 25,650.72/137.12
  6. Step 6: Final answer
    x = 187.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.