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Finding the Fourth Proportional to 106.20, 159.44 and 67.84

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Solution

The fourth proportional to 106.20, 159.44 and 67.84 is: 101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.20 : 159.44 = 67.84 : x
  2. Step 2: Convert to fraction form
    106.20/159.44 = 67.84/x
  3. Step 3: Cross multiply
    106.20x = 159.44 × 67.84
  4. Step 4: Simplify right side
    106.20x = 10,816.41
  5. Step 5: Solve for x
    x = 10,816.41/106.20
  6. Step 6: Final answer
    x = 101.85

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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.