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Finding the Fourth Proportional to 137.44, 205.62 and 114.22

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Solution

The fourth proportional to 137.44, 205.62 and 114.22 is: 170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 205.62 = 114.22 : x
  2. Step 2: Convert to fraction form
    137.44/205.62 = 114.22/x
  3. Step 3: Cross multiply
    137.44x = 205.62 × 114.22
  4. Step 4: Simplify right side
    137.44x = 23,485.92
  5. Step 5: Solve for x
    x = 23,485.92/137.44
  6. Step 6: Final answer
    x = 170.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.