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Finding the Fourth Proportional to 137.44, 189.36 and 122.48

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Solution

The fourth proportional to 137.44, 189.36 and 122.48 is: 168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 189.36 = 122.48 : x
  2. Step 2: Convert to fraction form
    137.44/189.36 = 122.48/x
  3. Step 3: Cross multiply
    137.44x = 189.36 × 122.48
  4. Step 4: Simplify right side
    137.44x = 23,192.81
  5. Step 5: Solve for x
    x = 23,192.81/137.44
  6. Step 6: Final answer
    x = 168.75

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Why These Related Problems?

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