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Finding the Fourth Proportional to 112.70, 168.78 and 106.76

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Solution

The fourth proportional to 112.70, 168.78 and 106.76 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.70 : 168.78 = 106.76 : x
  2. Step 2: Convert to fraction form
    112.70/168.78 = 106.76/x
  3. Step 3: Cross multiply
    112.70x = 168.78 × 106.76
  4. Step 4: Simplify right side
    112.70x = 18,018.95
  5. Step 5: Solve for x
    x = 18,018.95/112.70
  6. Step 6: Final answer
    x = 159.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.