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Finding the Fourth Proportional to 118.89, 164.02 and 69.09

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Solution

The fourth proportional to 118.89, 164.02 and 69.09 is: 95.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.89 : 164.02 = 69.09 : x
  2. Step 2: Convert to fraction form
    118.89/164.02 = 69.09/x
  3. Step 3: Cross multiply
    118.89x = 164.02 × 69.09
  4. Step 4: Simplify right side
    118.89x = 11,332.14
  5. Step 5: Solve for x
    x = 11,332.14/118.89
  6. Step 6: Final answer
    x = 95.32

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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.