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Finding the Fourth Proportional to 110.26, 165.46 and 41.78

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Solution

The fourth proportional to 110.26, 165.46 and 41.78 is: 62.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.26 : 165.46 = 41.78 : x
  2. Step 2: Convert to fraction form
    110.26/165.46 = 41.78/x
  3. Step 3: Cross multiply
    110.26x = 165.46 × 41.78
  4. Step 4: Simplify right side
    110.26x = 6,912.92
  5. Step 5: Solve for x
    x = 6,912.92/110.26
  6. Step 6: Final answer
    x = 62.70

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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.