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Finding the Fourth Proportional to 120.96, 181.42 and 52.46

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Solution

The fourth proportional to 120.96, 181.42 and 52.46 is: 78.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 181.42 = 52.46 : x
  2. Step 2: Convert to fraction form
    120.96/181.42 = 52.46/x
  3. Step 3: Cross multiply
    120.96x = 181.42 × 52.46
  4. Step 4: Simplify right side
    120.96x = 9,517.03
  5. Step 5: Solve for x
    x = 9,517.03/120.96
  6. Step 6: Final answer
    x = 78.68

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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.