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Finding the Fourth Proportional to 137.12, 189.43 and 116.60

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Solution

The fourth proportional to 137.12, 189.43 and 116.60 is: 161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 189.43 = 116.60 : x
  2. Step 2: Convert to fraction form
    137.12/189.43 = 116.60/x
  3. Step 3: Cross multiply
    137.12x = 189.43 × 116.60
  4. Step 4: Simplify right side
    137.12x = 22,087.72
  5. Step 5: Solve for x
    x = 22,087.72/137.12
  6. Step 6: Final answer
    x = 161.09

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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.