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Finding the Fourth Proportional to 120.96, 182.52 and 115.97

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Solution

The fourth proportional to 120.96, 182.52 and 115.97 is: 174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 182.52 = 115.97 : x
  2. Step 2: Convert to fraction form
    120.96/182.52 = 115.97/x
  3. Step 3: Cross multiply
    120.96x = 182.52 × 115.97
  4. Step 4: Simplify right side
    120.96x = 21,165.93
  5. Step 5: Solve for x
    x = 21,165.93/120.96
  6. Step 6: Final answer
    x = 174.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.