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Finding the Fourth Proportional to 120.20, 180.22 and 37.91

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Solution

The fourth proportional to 120.20, 180.22 and 37.91 is: 56.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 180.22 = 37.91 : x
  2. Step 2: Convert to fraction form
    120.20/180.22 = 37.91/x
  3. Step 3: Cross multiply
    120.20x = 180.22 × 37.91
  4. Step 4: Simplify right side
    120.20x = 6,831.24
  5. Step 5: Solve for x
    x = 6,831.24/120.20
  6. Step 6: Final answer
    x = 56.83

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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.