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Finding the Fourth Proportional to 107.68, 161.32 and 81.64

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Solution

The fourth proportional to 107.68, 161.32 and 81.64 is: 122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.68 : 161.32 = 81.64 : x
  2. Step 2: Convert to fraction form
    107.68/161.32 = 81.64/x
  3. Step 3: Cross multiply
    107.68x = 161.32 × 81.64
  4. Step 4: Simplify right side
    107.68x = 13,170.16
  5. Step 5: Solve for x
    x = 13,170.16/107.68
  6. Step 6: Final answer
    x = 122.31

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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.