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Finding the Fourth Proportional to 120.92, 181.04 and 82.33

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Solution

The fourth proportional to 120.92, 181.04 and 82.33 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.92 : 181.04 = 82.33 : x
  2. Step 2: Convert to fraction form
    120.92/181.04 = 82.33/x
  3. Step 3: Cross multiply
    120.92x = 181.04 × 82.33
  4. Step 4: Simplify right side
    120.92x = 14,904.16
  5. Step 5: Solve for x
    x = 14,904.16/120.92
  6. Step 6: Final answer
    x = 123.26

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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.