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Finding the Fourth Proportional to 120.75, 180.96 and 75.03

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Solution

The fourth proportional to 120.75, 180.96 and 75.03 is: 112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 180.96 = 75.03 : x
  2. Step 2: Convert to fraction form
    120.75/180.96 = 75.03/x
  3. Step 3: Cross multiply
    120.75x = 180.96 × 75.03
  4. Step 4: Simplify right side
    120.75x = 13,577.43
  5. Step 5: Solve for x
    x = 13,577.43/120.75
  6. Step 6: Final answer
    x = 112.44

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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.