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Finding the Fourth Proportional to 137.60, 189.70 and 116.82

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Solution

The fourth proportional to 137.60, 189.70 and 116.82 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 189.70 = 116.82 : x
  2. Step 2: Convert to fraction form
    137.60/189.70 = 116.82/x
  3. Step 3: Cross multiply
    137.60x = 189.70 × 116.82
  4. Step 4: Simplify right side
    137.60x = 22,160.75
  5. Step 5: Solve for x
    x = 22,160.75/137.60
  6. Step 6: Final answer
    x = 161.05

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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.