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Finding the Fourth Proportional to 137.66, 189.97 and 75.49

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Solution

The fourth proportional to 137.66, 189.97 and 75.49 is: 104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 189.97 = 75.49 : x
  2. Step 2: Convert to fraction form
    137.66/189.97 = 75.49/x
  3. Step 3: Cross multiply
    137.66x = 189.97 × 75.49
  4. Step 4: Simplify right side
    137.66x = 14,340.60
  5. Step 5: Solve for x
    x = 14,340.60/137.66
  6. Step 6: Final answer
    x = 104.18

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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.