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Finding the Fourth Proportional to 110.05, 165.13 and 49.18

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Solution

The fourth proportional to 110.05, 165.13 and 49.18 is: 73.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.05 : 165.13 = 49.18 : x
  2. Step 2: Convert to fraction form
    110.05/165.13 = 49.18/x
  3. Step 3: Cross multiply
    110.05x = 165.13 × 49.18
  4. Step 4: Simplify right side
    110.05x = 8,121.09
  5. Step 5: Solve for x
    x = 8,121.09/110.05
  6. Step 6: Final answer
    x = 73.79

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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.