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Finding the Fourth Proportional to 120.82, 181.32 and 48.73

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Solution

The fourth proportional to 120.82, 181.32 and 48.73 is: 73.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.82 : 181.32 = 48.73 : x
  2. Step 2: Convert to fraction form
    120.82/181.32 = 48.73/x
  3. Step 3: Cross multiply
    120.82x = 181.32 × 48.73
  4. Step 4: Simplify right side
    120.82x = 8,834.82
  5. Step 5: Solve for x
    x = 8,834.82/120.82
  6. Step 6: Final answer
    x = 73.13

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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.