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Finding the Fourth Proportional to 118.45, 163.46 and 74.77

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Solution

The fourth proportional to 118.45, 163.46 and 74.77 is: 103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.45 : 163.46 = 74.77 : x
  2. Step 2: Convert to fraction form
    118.45/163.46 = 74.77/x
  3. Step 3: Cross multiply
    118.45x = 163.46 × 74.77
  4. Step 4: Simplify right side
    118.45x = 12,221.90
  5. Step 5: Solve for x
    x = 12,221.90/118.45
  6. Step 6: Final answer
    x = 103.18

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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.