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Finding the Fourth Proportional to 118.57, 163.64 and 66.13

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Solution

The fourth proportional to 118.57, 163.64 and 66.13 is: 91.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.57 : 163.64 = 66.13 : x
  2. Step 2: Convert to fraction form
    118.57/163.64 = 66.13/x
  3. Step 3: Cross multiply
    118.57x = 163.64 × 66.13
  4. Step 4: Simplify right side
    118.57x = 10,822.33
  5. Step 5: Solve for x
    x = 10,822.33/118.57
  6. Step 6: Final answer
    x = 91.27

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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.