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Finding the Fourth Proportional to 110.30, 164.30 and 104.09

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Solution

The fourth proportional to 110.30, 164.30 and 104.09 is: 155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.30 : 164.30 = 104.09 : x
  2. Step 2: Convert to fraction form
    110.30/164.30 = 104.09/x
  3. Step 3: Cross multiply
    110.30x = 164.30 × 104.09
  4. Step 4: Simplify right side
    110.30x = 17,100.65
  5. Step 5: Solve for x
    x = 17,100.65/110.30
  6. Step 6: Final answer
    x = 155.04

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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.