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Finding the Fourth Proportional to 118.57, 163.62 and 66.82

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Solution

The fourth proportional to 118.57, 163.62 and 66.82 is: 92.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.57 : 163.62 = 66.82 : x
  2. Step 2: Convert to fraction form
    118.57/163.62 = 66.82/x
  3. Step 3: Cross multiply
    118.57x = 163.62 × 66.82
  4. Step 4: Simplify right side
    118.57x = 10,931.94
  5. Step 5: Solve for x
    x = 10,931.94/118.57
  6. Step 6: Final answer
    x = 92.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.