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Finding the Fourth Proportional to 110.09, 165.12 and 33.06

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Solution

The fourth proportional to 110.09, 165.12 and 33.06 is: 49.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.09 : 165.12 = 33.06 : x
  2. Step 2: Convert to fraction form
    110.09/165.12 = 33.06/x
  3. Step 3: Cross multiply
    110.09x = 165.12 × 33.06
  4. Step 4: Simplify right side
    110.09x = 5,458.87
  5. Step 5: Solve for x
    x = 5,458.87/110.09
  6. Step 6: Final answer
    x = 49.59

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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.