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Finding the Fourth Proportional to 324.32, 486.14 and 107.84

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Solution

The fourth proportional to 324.32, 486.14 and 107.84 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 486.14 = 107.84 : x
  2. Step 2: Convert to fraction form
    324.32/486.14 = 107.84/x
  3. Step 3: Cross multiply
    324.32x = 486.14 × 107.84
  4. Step 4: Simplify right side
    324.32x = 52,425.34
  5. Step 5: Solve for x
    x = 52,425.34/324.32
  6. Step 6: Final answer
    x = 161.65

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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.