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Finding the Fourth Proportional to 180.71, 271.10 and 77.98

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Solution

The fourth proportional to 180.71, 271.10 and 77.98 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.71 : 271.10 = 77.98 : x
  2. Step 2: Convert to fraction form
    180.71/271.10 = 77.98/x
  3. Step 3: Cross multiply
    180.71x = 271.10 × 77.98
  4. Step 4: Simplify right side
    180.71x = 21,140.38
  5. Step 5: Solve for x
    x = 21,140.38/180.71
  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.