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Finding the Fourth Proportional to 137.27, 189.23 and 104.46

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Solution

The fourth proportional to 137.27, 189.23 and 104.46 is: 144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.27 : 189.23 = 104.46 : x
  2. Step 2: Convert to fraction form
    137.27/189.23 = 104.46/x
  3. Step 3: Cross multiply
    137.27x = 189.23 × 104.46
  4. Step 4: Simplify right side
    137.27x = 19,766.44
  5. Step 5: Solve for x
    x = 19,766.44/137.27
  6. Step 6: Final answer
    x = 144.00

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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.