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Finding the Fourth Proportional to 110.36, 165.78 and 106.92

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Solution

The fourth proportional to 110.36, 165.78 and 106.92 is: 160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.36 : 165.78 = 106.92 : x
  2. Step 2: Convert to fraction form
    110.36/165.78 = 106.92/x
  3. Step 3: Cross multiply
    110.36x = 165.78 × 106.92
  4. Step 4: Simplify right side
    110.36x = 17,725.20
  5. Step 5: Solve for x
    x = 17,725.20/110.36
  6. Step 6: Final answer
    x = 160.61

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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.