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Finding the Fourth Proportional to 120.40, 180.63 and 33.74

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Solution

The fourth proportional to 120.40, 180.63 and 33.74 is: 50.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.40 : 180.63 = 33.74 : x
  2. Step 2: Convert to fraction form
    120.40/180.63 = 33.74/x
  3. Step 3: Cross multiply
    120.40x = 180.63 × 33.74
  4. Step 4: Simplify right side
    120.40x = 6,093.67
  5. Step 5: Solve for x
    x = 6,093.67/120.40
  6. Step 6: Final answer
    x = 50.61

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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.