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Finding the Fourth Proportional to 120.08, 179.24 and 109.28

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Solution

The fourth proportional to 120.08, 179.24 and 109.28 is: 163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.08 : 179.24 = 109.28 : x
  2. Step 2: Convert to fraction form
    120.08/179.24 = 109.28/x
  3. Step 3: Cross multiply
    120.08x = 179.24 × 109.28
  4. Step 4: Simplify right side
    120.08x = 19,587.35
  5. Step 5: Solve for x
    x = 19,587.35/120.08
  6. Step 6: Final answer
    x = 163.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.