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Finding the Fourth Proportional to 120.65, 181.19 and 107.24

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Solution

The fourth proportional to 120.65, 181.19 and 107.24 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 181.19 = 107.24 : x
  2. Step 2: Convert to fraction form
    120.65/181.19 = 107.24/x
  3. Step 3: Cross multiply
    120.65x = 181.19 × 107.24
  4. Step 4: Simplify right side
    120.65x = 19,429.37
  5. Step 5: Solve for x
    x = 19,429.37/120.65
  6. Step 6: Final answer
    x = 161.05

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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.