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Finding the Fourth Proportional to 180.75, 271.13 and 66.75

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Solution

The fourth proportional to 180.75, 271.13 and 66.75 is: 100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 271.13 = 66.75 : x
  2. Step 2: Convert to fraction form
    180.75/271.13 = 66.75/x
  3. Step 3: Cross multiply
    180.75x = 271.13 × 66.75
  4. Step 4: Simplify right side
    180.75x = 18,097.93
  5. Step 5: Solve for x
    x = 18,097.93/180.75
  6. Step 6: Final answer
    x = 100.13

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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.