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Finding the Fourth Proportional to 112.34, 167.32 and 107.34

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Solution

The fourth proportional to 112.34, 167.32 and 107.34 is: 159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.34 : 167.32 = 107.34 : x
  2. Step 2: Convert to fraction form
    112.34/167.32 = 107.34/x
  3. Step 3: Cross multiply
    112.34x = 167.32 × 107.34
  4. Step 4: Simplify right side
    112.34x = 17,960.58
  5. Step 5: Solve for x
    x = 17,960.58/112.34
  6. Step 6: Final answer
    x = 159.87

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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.