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Finding the Fourth Proportional to 112.98, 168.74 and 106.74

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Solution

The fourth proportional to 112.98, 168.74 and 106.74 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.98 : 168.74 = 106.74 : x
  2. Step 2: Convert to fraction form
    112.98/168.74 = 106.74/x
  3. Step 3: Cross multiply
    112.98x = 168.74 × 106.74
  4. Step 4: Simplify right side
    112.98x = 18,011.31
  5. Step 5: Solve for x
    x = 18,011.31/112.98
  6. Step 6: Final answer
    x = 159.42

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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.