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Finding the Fourth Proportional to 118.62, 163.58 and 77.13

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Solution

The fourth proportional to 118.62, 163.58 and 77.13 is: 106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.62 : 163.58 = 77.13 : x
  2. Step 2: Convert to fraction form
    118.62/163.58 = 77.13/x
  3. Step 3: Cross multiply
    118.62x = 163.58 × 77.13
  4. Step 4: Simplify right side
    118.62x = 12,616.54
  5. Step 5: Solve for x
    x = 12,616.54/118.62
  6. Step 6: Final answer
    x = 106.36

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