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Finding the Fourth Proportional to 105.82, 158.66 and 54.49

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Solution

The fourth proportional to 105.82, 158.66 and 54.49 is: 81.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 158.66 = 54.49 : x
  2. Step 2: Convert to fraction form
    105.82/158.66 = 54.49/x
  3. Step 3: Cross multiply
    105.82x = 158.66 × 54.49
  4. Step 4: Simplify right side
    105.82x = 8,645.22
  5. Step 5: Solve for x
    x = 8,645.22/105.82
  6. Step 6: Final answer
    x = 81.69

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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.