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Finding the Fourth Proportional to 118.90, 164.02 and 82.02

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Solution

The fourth proportional to 118.90, 164.02 and 82.02 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.90 : 164.02 = 82.02 : x
  2. Step 2: Convert to fraction form
    118.90/164.02 = 82.02/x
  3. Step 3: Cross multiply
    118.90x = 164.02 × 82.02
  4. Step 4: Simplify right side
    118.90x = 13,452.92
  5. Step 5: Solve for x
    x = 13,452.92/118.90
  6. Step 6: Final answer
    x = 113.14

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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.