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Finding the Fourth Proportional to 120.13, 179.71 and 100.75

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Solution

The fourth proportional to 120.13, 179.71 and 100.75 is: 150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.13 : 179.71 = 100.75 : x
  2. Step 2: Convert to fraction form
    120.13/179.71 = 100.75/x
  3. Step 3: Cross multiply
    120.13x = 179.71 × 100.75
  4. Step 4: Simplify right side
    120.13x = 18,105.78
  5. Step 5: Solve for x
    x = 18,105.78/120.13
  6. Step 6: Final answer
    x = 150.72

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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.