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Finding the Fourth Proportional to 109.96, 164.11 and 107.08

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Solution

The fourth proportional to 109.96, 164.11 and 107.08 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 164.11 = 107.08 : x
  2. Step 2: Convert to fraction form
    109.96/164.11 = 107.08/x
  3. Step 3: Cross multiply
    109.96x = 164.11 × 107.08
  4. Step 4: Simplify right side
    109.96x = 17,572.90
  5. Step 5: Solve for x
    x = 17,572.90/109.96
  6. Step 6: Final answer
    x = 159.81

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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.