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Finding the Fourth Proportional to 120.62, 181 and 93.62

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Solution

The fourth proportional to 120.62, 181 and 93.62 is: 140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.62 : 181 = 93.62 : x
  2. Step 2: Convert to fraction form
    120.62/181 = 93.62/x
  3. Step 3: Cross multiply
    120.62x = 181 × 93.62
  4. Step 4: Simplify right side
    120.62x = 16,945.22
  5. Step 5: Solve for x
    x = 16,945.22/120.62
  6. Step 6: Final answer
    x = 140.48

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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.