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Finding the Fourth Proportional to 120.96, 181.38 and 39.76

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Solution

The fourth proportional to 120.96, 181.38 and 39.76 is: 59.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 181.38 = 39.76 : x
  2. Step 2: Convert to fraction form
    120.96/181.38 = 39.76/x
  3. Step 3: Cross multiply
    120.96x = 181.38 × 39.76
  4. Step 4: Simplify right side
    120.96x = 7,211.67
  5. Step 5: Solve for x
    x = 7,211.67/120.96
  6. Step 6: Final answer
    x = 59.62

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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.