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Finding the Fourth Proportional to 118.55, 163.64 and 69.44

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Solution

The fourth proportional to 118.55, 163.64 and 69.44 is: 95.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.55 : 163.64 = 69.44 : x
  2. Step 2: Convert to fraction form
    118.55/163.64 = 69.44/x
  3. Step 3: Cross multiply
    118.55x = 163.64 × 69.44
  4. Step 4: Simplify right side
    118.55x = 11,362.00
  5. Step 5: Solve for x
    x = 11,362.00/118.55
  6. Step 6: Final answer
    x = 95.85

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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.