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Finding the Fourth Proportional to 118.93, 164.15 and 82.14

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Solution

The fourth proportional to 118.93, 164.15 and 82.14 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.93 : 164.15 = 82.14 : x
  2. Step 2: Convert to fraction form
    118.93/164.15 = 82.14/x
  3. Step 3: Cross multiply
    118.93x = 164.15 × 82.14
  4. Step 4: Simplify right side
    118.93x = 13,483.28
  5. Step 5: Solve for x
    x = 13,483.28/118.93
  6. Step 6: Final answer
    x = 113.37

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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.