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Finding the Fourth Proportional to 118.82, 164.09 and 86.16

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Solution

The fourth proportional to 118.82, 164.09 and 86.16 is: 118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 164.09 = 86.16 : x
  2. Step 2: Convert to fraction form
    118.82/164.09 = 86.16/x
  3. Step 3: Cross multiply
    118.82x = 164.09 × 86.16
  4. Step 4: Simplify right side
    118.82x = 14,137.99
  5. Step 5: Solve for x
    x = 14,137.99/118.82
  6. Step 6: Final answer
    x = 118.99

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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.