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Finding the Fourth Proportional to 118.64, 163.61 and 77.11

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Solution

The fourth proportional to 118.64, 163.61 and 77.11 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 163.61 = 77.11 : x
  2. Step 2: Convert to fraction form
    118.64/163.61 = 77.11/x
  3. Step 3: Cross multiply
    118.64x = 163.61 × 77.11
  4. Step 4: Simplify right side
    118.64x = 12,615.46
  5. Step 5: Solve for x
    x = 12,615.46/118.64
  6. Step 6: Final answer
    x = 106.33

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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.