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Finding the Fourth Proportional to 180.01, 270.09 and 81.25

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Solution

The fourth proportional to 180.01, 270.09 and 81.25 is: 121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 270.09 = 81.25 : x
  2. Step 2: Convert to fraction form
    180.01/270.09 = 81.25/x
  3. Step 3: Cross multiply
    180.01x = 270.09 × 81.25
  4. Step 4: Simplify right side
    180.01x = 21,944.81
  5. Step 5: Solve for x
    x = 21,944.81/180.01
  6. Step 6: Final answer
    x = 121.91

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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.