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Finding the Fourth Proportional to 180.80, 271.31 and 72.59

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Solution

The fourth proportional to 180.80, 271.31 and 72.59 is: 108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 271.31 = 72.59 : x
  2. Step 2: Convert to fraction form
    180.80/271.31 = 72.59/x
  3. Step 3: Cross multiply
    180.80x = 271.31 × 72.59
  4. Step 4: Simplify right side
    180.80x = 19,694.71
  5. Step 5: Solve for x
    x = 19,694.71/180.80
  6. Step 6: Final answer
    x = 108.93

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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.