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Finding the Fourth Proportional to 110.45, 163.82 and 108.83

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Solution

The fourth proportional to 110.45, 163.82 and 108.83 is: 161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.45 : 163.82 = 108.83 : x
  2. Step 2: Convert to fraction form
    110.45/163.82 = 108.83/x
  3. Step 3: Cross multiply
    110.45x = 163.82 × 108.83
  4. Step 4: Simplify right side
    110.45x = 17,827.17
  5. Step 5: Solve for x
    x = 17,827.17/110.45
  6. Step 6: Final answer
    x = 161.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.