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Finding the Fourth Proportional to 180.96, 270.72 and 120.16

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Solution

The fourth proportional to 180.96, 270.72 and 120.16 is: 179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 270.72 = 120.16 : x
  2. Step 2: Convert to fraction form
    180.96/270.72 = 120.16/x
  3. Step 3: Cross multiply
    180.96x = 270.72 × 120.16
  4. Step 4: Simplify right side
    180.96x = 32,529.72
  5. Step 5: Solve for x
    x = 32,529.72/180.96
  6. Step 6: Final answer
    x = 179.76

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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.