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Finding the Fourth Proportional to 273.09, 409.63 and 67.66

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Solution

The fourth proportional to 273.09, 409.63 and 67.66 is: 101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.09 : 409.63 = 67.66 : x
  2. Step 2: Convert to fraction form
    273.09/409.63 = 67.66/x
  3. Step 3: Cross multiply
    273.09x = 409.63 × 67.66
  4. Step 4: Simplify right side
    273.09x = 27,715.57
  5. Step 5: Solve for x
    x = 27,715.57/273.09
  6. Step 6: Final answer
    x = 101.49

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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.