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Finding the Fourth Proportional to 107.62, 161.17 and 53.53

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Solution

The fourth proportional to 107.62, 161.17 and 53.53 is: 80.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.62 : 161.17 = 53.53 : x
  2. Step 2: Convert to fraction form
    107.62/161.17 = 53.53/x
  3. Step 3: Cross multiply
    107.62x = 161.17 × 53.53
  4. Step 4: Simplify right side
    107.62x = 8,627.43
  5. Step 5: Solve for x
    x = 8,627.43/107.62
  6. Step 6: Final answer
    x = 80.17

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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.