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Finding the Fourth Proportional to 180.71, 271.17 and 72.50

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Solution

The fourth proportional to 180.71, 271.17 and 72.50 is: 108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.71 : 271.17 = 72.50 : x
  2. Step 2: Convert to fraction form
    180.71/271.17 = 72.50/x
  3. Step 3: Cross multiply
    180.71x = 271.17 × 72.50
  4. Step 4: Simplify right side
    180.71x = 19,658.47
  5. Step 5: Solve for x
    x = 19,658.47/180.71
  6. Step 6: Final answer
    x = 108.79

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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.