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Finding the Fourth Proportional to 110.84, 165.42 and 107.96

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Solution

The fourth proportional to 110.84, 165.42 and 107.96 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.84 : 165.42 = 107.96 : x
  2. Step 2: Convert to fraction form
    110.84/165.42 = 107.96/x
  3. Step 3: Cross multiply
    110.84x = 165.42 × 107.96
  4. Step 4: Simplify right side
    110.84x = 17,857.38
  5. Step 5: Solve for x
    x = 17,857.38/110.84
  6. Step 6: Final answer
    x = 161.12

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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.