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Finding the Fourth Proportional to 105.73, 158.27 and 81.32

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Solution

The fourth proportional to 105.73, 158.27 and 81.32 is: 121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.73 : 158.27 = 81.32 : x
  2. Step 2: Convert to fraction form
    105.73/158.27 = 81.32/x
  3. Step 3: Cross multiply
    105.73x = 158.27 × 81.32
  4. Step 4: Simplify right side
    105.73x = 12,869.32
  5. Step 5: Solve for x
    x = 12,869.32/105.73
  6. Step 6: Final answer
    x = 121.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.