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Finding the Fourth Proportional to 120.24, 179.22 and 113.04

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Solution

The fourth proportional to 120.24, 179.22 and 113.04 is: 168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 179.22 = 113.04 : x
  2. Step 2: Convert to fraction form
    120.24/179.22 = 113.04/x
  3. Step 3: Cross multiply
    120.24x = 179.22 × 113.04
  4. Step 4: Simplify right side
    120.24x = 20,259.03
  5. Step 5: Solve for x
    x = 20,259.03/120.24
  6. Step 6: Final answer
    x = 168.49

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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.