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Finding the Fourth Proportional to 270.04, 405.09 and 107.69

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Solution

The fourth proportional to 270.04, 405.09 and 107.69 is: 161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.04 : 405.09 = 107.69 : x
  2. Step 2: Convert to fraction form
    270.04/405.09 = 107.69/x
  3. Step 3: Cross multiply
    270.04x = 405.09 × 107.69
  4. Step 4: Simplify right side
    270.04x = 43,624.14
  5. Step 5: Solve for x
    x = 43,624.14/270.04
  6. Step 6: Final answer
    x = 161.55

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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.