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Finding the Fourth Proportional to 137.05, 189.62 and 116.26

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Solution

The fourth proportional to 137.05, 189.62 and 116.26 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.05 : 189.62 = 116.26 : x
  2. Step 2: Convert to fraction form
    137.05/189.62 = 116.26/x
  3. Step 3: Cross multiply
    137.05x = 189.62 × 116.26
  4. Step 4: Simplify right side
    137.05x = 22,045.22
  5. Step 5: Solve for x
    x = 22,045.22/137.05
  6. Step 6: Final answer
    x = 160.86

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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.