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Finding the Fourth Proportional to 120.41, 180.63 and 38.15

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Solution

The fourth proportional to 120.41, 180.63 and 38.15 is: 57.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.41 : 180.63 = 38.15 : x
  2. Step 2: Convert to fraction form
    120.41/180.63 = 38.15/x
  3. Step 3: Cross multiply
    120.41x = 180.63 × 38.15
  4. Step 4: Simplify right side
    120.41x = 6,891.63
  5. Step 5: Solve for x
    x = 6,891.63/120.41
  6. Step 6: Final answer
    x = 57.23

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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.