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Finding the Fourth Proportional to 137.06, 189.23 and 122.48

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Solution

The fourth proportional to 137.06, 189.23 and 122.48 is: 169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.06 : 189.23 = 122.48 : x
  2. Step 2: Convert to fraction form
    137.06/189.23 = 122.48/x
  3. Step 3: Cross multiply
    137.06x = 189.23 × 122.48
  4. Step 4: Simplify right side
    137.06x = 23,175.33
  5. Step 5: Solve for x
    x = 23,175.33/137.06
  6. Step 6: Final answer
    x = 169.10

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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.