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Finding the Fourth Proportional to 180.71, 271.14 and 77.97

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Solution

The fourth proportional to 180.71, 271.14 and 77.97 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.71 : 271.14 = 77.97 : x
  2. Step 2: Convert to fraction form
    180.71/271.14 = 77.97/x
  3. Step 3: Cross multiply
    180.71x = 271.14 × 77.97
  4. Step 4: Simplify right side
    180.71x = 21,140.79
  5. Step 5: Solve for x
    x = 21,140.79/180.71
  6. Step 6: Final answer
    x = 116.99

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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.