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Finding the Fourth Proportional to 112.80, 170.08 and 108.80

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Solution

The fourth proportional to 112.80, 170.08 and 108.80 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.80 : 170.08 = 108.80 : x
  2. Step 2: Convert to fraction form
    112.80/170.08 = 108.80/x
  3. Step 3: Cross multiply
    112.80x = 170.08 × 108.80
  4. Step 4: Simplify right side
    112.80x = 18,504.70
  5. Step 5: Solve for x
    x = 18,504.70/112.80
  6. Step 6: Final answer
    x = 164.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.