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Finding the Fourth Proportional to 110.28, 164.39 and 109

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Solution

The fourth proportional to 110.28, 164.39 and 109 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.28 : 164.39 = 109 : x
  2. Step 2: Convert to fraction form
    110.28/164.39 = 109/x
  3. Step 3: Cross multiply
    110.28x = 164.39 × 109
  4. Step 4: Simplify right side
    110.28x = 17,918.51
  5. Step 5: Solve for x
    x = 17,918.51/110.28
  6. Step 6: Final answer
    x = 162.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.