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Finding the Fourth Proportional to 112.12, 166.85 and 107.80

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Solution

The fourth proportional to 112.12, 166.85 and 107.80 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.12 : 166.85 = 107.80 : x
  2. Step 2: Convert to fraction form
    112.12/166.85 = 107.80/x
  3. Step 3: Cross multiply
    112.12x = 166.85 × 107.80
  4. Step 4: Simplify right side
    112.12x = 17,986.43
  5. Step 5: Solve for x
    x = 17,986.43/112.12
  6. Step 6: Final answer
    x = 160.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.