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Finding the Fourth Proportional to 109.30, 163.93 and 44.29

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Solution

The fourth proportional to 109.30, 163.93 and 44.29 is: 66.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 163.93 = 44.29 : x
  2. Step 2: Convert to fraction form
    109.30/163.93 = 44.29/x
  3. Step 3: Cross multiply
    109.30x = 163.93 × 44.29
  4. Step 4: Simplify right side
    109.30x = 7,260.82
  5. Step 5: Solve for x
    x = 7,260.82/109.30
  6. Step 6: Final answer
    x = 66.43

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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.