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Finding the Fourth Proportional to 118.15, 162.97 and 83.11

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Solution

The fourth proportional to 118.15, 162.97 and 83.11 is: 114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.15 : 162.97 = 83.11 : x
  2. Step 2: Convert to fraction form
    118.15/162.97 = 83.11/x
  3. Step 3: Cross multiply
    118.15x = 162.97 × 83.11
  4. Step 4: Simplify right side
    118.15x = 13,544.44
  5. Step 5: Solve for x
    x = 13,544.44/118.15
  6. Step 6: Final answer
    x = 114.64

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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.