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Finding the Fourth Proportional to 118.96, 164.16 and 84.04

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Solution

The fourth proportional to 118.96, 164.16 and 84.04 is: 115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.96 : 164.16 = 84.04 : x
  2. Step 2: Convert to fraction form
    118.96/164.16 = 84.04/x
  3. Step 3: Cross multiply
    118.96x = 164.16 × 84.04
  4. Step 4: Simplify right side
    118.96x = 13,796.01
  5. Step 5: Solve for x
    x = 13,796.01/118.96
  6. Step 6: Final answer
    x = 115.97

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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.