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Finding the Fourth Proportional to 137, 205.20 and 113.96

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Solution

The fourth proportional to 137, 205.20 and 113.96 is: 170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 205.20 = 113.96 : x
  2. Step 2: Convert to fraction form
    137/205.20 = 113.96/x
  3. Step 3: Cross multiply
    137x = 205.20 × 113.96
  4. Step 4: Simplify right side
    137x = 23,384.59
  5. Step 5: Solve for x
    x = 23,384.59/137
  6. Step 6: Final answer
    x = 170.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.