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Finding the Fourth Proportional to 110.22, 165.46 and 51.71

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Solution

The fourth proportional to 110.22, 165.46 and 51.71 is: 77.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.22 : 165.46 = 51.71 : x
  2. Step 2: Convert to fraction form
    110.22/165.46 = 51.71/x
  3. Step 3: Cross multiply
    110.22x = 165.46 × 51.71
  4. Step 4: Simplify right side
    110.22x = 8,555.08
  5. Step 5: Solve for x
    x = 8,555.08/110.22
  6. Step 6: Final answer
    x = 77.62

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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.