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Finding the Fourth Proportional to 120.88, 180.84 and 101.44

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Solution

The fourth proportional to 120.88, 180.84 and 101.44 is: 151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 180.84 = 101.44 : x
  2. Step 2: Convert to fraction form
    120.88/180.84 = 101.44/x
  3. Step 3: Cross multiply
    120.88x = 180.84 × 101.44
  4. Step 4: Simplify right side
    120.88x = 18,344.41
  5. Step 5: Solve for x
    x = 18,344.41/120.88
  6. Step 6: Final answer
    x = 151.76

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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.