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Finding the Fourth Proportional to 118.96, 164.14 and 80.16

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Solution

The fourth proportional to 118.96, 164.14 and 80.16 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.96 : 164.14 = 80.16 : x
  2. Step 2: Convert to fraction form
    118.96/164.14 = 80.16/x
  3. Step 3: Cross multiply
    118.96x = 164.14 × 80.16
  4. Step 4: Simplify right side
    118.96x = 13,157.46
  5. Step 5: Solve for x
    x = 13,157.46/118.96
  6. Step 6: Final answer
    x = 110.60

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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.