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Finding the Fourth Proportional to 130.94, 196.26 and 109.24

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Solution

The fourth proportional to 130.94, 196.26 and 109.24 is: 163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.94 : 196.26 = 109.24 : x
  2. Step 2: Convert to fraction form
    130.94/196.26 = 109.24/x
  3. Step 3: Cross multiply
    130.94x = 196.26 × 109.24
  4. Step 4: Simplify right side
    130.94x = 21,439.44
  5. Step 5: Solve for x
    x = 21,439.44/130.94
  6. Step 6: Final answer
    x = 163.73

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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.