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Finding the Fourth Proportional to 105.87, 158.91 and 73.44

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Solution

The fourth proportional to 105.87, 158.91 and 73.44 is: 110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.87 : 158.91 = 73.44 : x
  2. Step 2: Convert to fraction form
    105.87/158.91 = 73.44/x
  3. Step 3: Cross multiply
    105.87x = 158.91 × 73.44
  4. Step 4: Simplify right side
    105.87x = 11,669.19
  5. Step 5: Solve for x
    x = 11,669.19/105.87
  6. Step 6: Final answer
    x = 110.22

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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.