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Finding the Fourth Proportional to 120.33, 179.64 and 106.79

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Solution

The fourth proportional to 120.33, 179.64 and 106.79 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 179.64 = 106.79 : x
  2. Step 2: Convert to fraction form
    120.33/179.64 = 106.79/x
  3. Step 3: Cross multiply
    120.33x = 179.64 × 106.79
  4. Step 4: Simplify right side
    120.33x = 19,182.86
  5. Step 5: Solve for x
    x = 19,182.86/120.33
  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.