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Finding the Fourth Proportional to 180.69, 271.12 and 77.95

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Solution

The fourth proportional to 180.69, 271.12 and 77.95 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 271.12 = 77.95 : x
  2. Step 2: Convert to fraction form
    180.69/271.12 = 77.95/x
  3. Step 3: Cross multiply
    180.69x = 271.12 × 77.95
  4. Step 4: Simplify right side
    180.69x = 21,133.87
  5. Step 5: Solve for x
    x = 21,133.87/180.69
  6. Step 6: Final answer
    x = 116.96

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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.