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Finding the Fourth Proportional to 105.89, 158.84 and 54.57

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Solution

The fourth proportional to 105.89, 158.84 and 54.57 is: 81.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.89 : 158.84 = 54.57 : x
  2. Step 2: Convert to fraction form
    105.89/158.84 = 54.57/x
  3. Step 3: Cross multiply
    105.89x = 158.84 × 54.57
  4. Step 4: Simplify right side
    105.89x = 8,668.43
  5. Step 5: Solve for x
    x = 8,668.43/105.89
  6. Step 6: Final answer
    x = 81.87

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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.