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Finding the Fourth Proportional to 137.57, 189.68 and 108.41

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Solution

The fourth proportional to 137.57, 189.68 and 108.41 is: 149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 189.68 = 108.41 : x
  2. Step 2: Convert to fraction form
    137.57/189.68 = 108.41/x
  3. Step 3: Cross multiply
    137.57x = 189.68 × 108.41
  4. Step 4: Simplify right side
    137.57x = 20,561.72
  5. Step 5: Solve for x
    x = 20,561.72/137.57
  6. Step 6: Final answer
    x = 149.47

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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.