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Finding the Fourth Proportional to 118.36, 163.27 and 71.70

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Solution

The fourth proportional to 118.36, 163.27 and 71.70 is: 98.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.36 : 163.27 = 71.70 : x
  2. Step 2: Convert to fraction form
    118.36/163.27 = 71.70/x
  3. Step 3: Cross multiply
    118.36x = 163.27 × 71.70
  4. Step 4: Simplify right side
    118.36x = 11,705.28
  5. Step 5: Solve for x
    x = 11,705.28/118.36
  6. Step 6: Final answer
    x = 98.90

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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.