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Finding the Fourth Proportional to 180.82, 271.34 and 72.69

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Solution

The fourth proportional to 180.82, 271.34 and 72.69 is: 109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 271.34 = 72.69 : x
  2. Step 2: Convert to fraction form
    180.82/271.34 = 72.69/x
  3. Step 3: Cross multiply
    180.82x = 271.34 × 72.69
  4. Step 4: Simplify right side
    180.82x = 19,722.66
  5. Step 5: Solve for x
    x = 19,722.66/180.82
  6. Step 6: Final answer
    x = 109.07

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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.