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Finding the Fourth Proportional to 118.08, 161.89 and 116.04

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Solution

The fourth proportional to 118.08, 161.89 and 116.04 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.08 : 161.89 = 116.04 : x
  2. Step 2: Convert to fraction form
    118.08/161.89 = 116.04/x
  3. Step 3: Cross multiply
    118.08x = 161.89 × 116.04
  4. Step 4: Simplify right side
    118.08x = 18,785.72
  5. Step 5: Solve for x
    x = 18,785.72/118.08
  6. Step 6: Final answer
    x = 159.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.