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Finding the Fourth Proportional to 137.44, 205.84 and 120.32

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Solution

The fourth proportional to 137.44, 205.84 and 120.32 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 205.84 = 120.32 : x
  2. Step 2: Convert to fraction form
    137.44/205.84 = 120.32/x
  3. Step 3: Cross multiply
    137.44x = 205.84 × 120.32
  4. Step 4: Simplify right side
    137.44x = 24,766.67
  5. Step 5: Solve for x
    x = 24,766.67/137.44
  6. Step 6: Final answer
    x = 180.20

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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.