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Finding the Fourth Proportional to 120.32, 180.53 and 76.97

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Solution

The fourth proportional to 120.32, 180.53 and 76.97 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.32 : 180.53 = 76.97 : x
  2. Step 2: Convert to fraction form
    120.32/180.53 = 76.97/x
  3. Step 3: Cross multiply
    120.32x = 180.53 × 76.97
  4. Step 4: Simplify right side
    120.32x = 13,895.85
  5. Step 5: Solve for x
    x = 13,895.85/120.32
  6. Step 6: Final answer
    x = 115.49

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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.