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Finding the Fourth Proportional to 275.09, 412.56 and 80.06

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Solution

The fourth proportional to 275.09, 412.56 and 80.06 is: 120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 412.56 = 80.06 : x
  2. Step 2: Convert to fraction form
    275.09/412.56 = 80.06/x
  3. Step 3: Cross multiply
    275.09x = 412.56 × 80.06
  4. Step 4: Simplify right side
    275.09x = 33,027.49
  5. Step 5: Solve for x
    x = 33,027.49/275.09
  6. Step 6: Final answer
    x = 120.06

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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.