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Finding the Fourth Proportional to 105.87, 158.63 and 54.46

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Solution

The fourth proportional to 105.87, 158.63 and 54.46 is: 81.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.87 : 158.63 = 54.46 : x
  2. Step 2: Convert to fraction form
    105.87/158.63 = 54.46/x
  3. Step 3: Cross multiply
    105.87x = 158.63 × 54.46
  4. Step 4: Simplify right side
    105.87x = 8,638.20
  5. Step 5: Solve for x
    x = 8,638.20/105.87
  6. Step 6: Final answer
    x = 81.59

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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.