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Finding the Fourth Proportional to 120.78, 181.20 and 107.22

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Solution

The fourth proportional to 120.78, 181.20 and 107.22 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 181.20 = 107.22 : x
  2. Step 2: Convert to fraction form
    120.78/181.20 = 107.22/x
  3. Step 3: Cross multiply
    120.78x = 181.20 × 107.22
  4. Step 4: Simplify right side
    120.78x = 19,428.26
  5. Step 5: Solve for x
    x = 19,428.26/120.78
  6. Step 6: Final answer
    x = 160.86

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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.