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Finding the Fourth Proportional to 118.91, 164.06 and 69.11

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Solution

The fourth proportional to 118.91, 164.06 and 69.11 is: 95.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.91 : 164.06 = 69.11 : x
  2. Step 2: Convert to fraction form
    118.91/164.06 = 69.11/x
  3. Step 3: Cross multiply
    118.91x = 164.06 × 69.11
  4. Step 4: Simplify right side
    118.91x = 11,337.54
  5. Step 5: Solve for x
    x = 11,337.54/118.91
  6. Step 6: Final answer
    x = 95.35

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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.