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Finding the Fourth Proportional to 180, 270.01 and 107.81

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Solution

The fourth proportional to 180, 270.01 and 107.81 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 270.01 = 107.81 : x
  2. Step 2: Convert to fraction form
    180/270.01 = 107.81/x
  3. Step 3: Cross multiply
    180x = 270.01 × 107.81
  4. Step 4: Simplify right side
    180x = 29,109.78
  5. Step 5: Solve for x
    x = 29,109.78/180
  6. Step 6: Final answer
    x = 161.72

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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.