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Finding the Fourth Proportional to 105.89, 158.85 and 100.73

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Solution

The fourth proportional to 105.89, 158.85 and 100.73 is: 151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.89 : 158.85 = 100.73 : x
  2. Step 2: Convert to fraction form
    105.89/158.85 = 100.73/x
  3. Step 3: Cross multiply
    105.89x = 158.85 × 100.73
  4. Step 4: Simplify right side
    105.89x = 16,000.96
  5. Step 5: Solve for x
    x = 16,000.96/105.89
  6. Step 6: Final answer
    x = 151.11

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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.