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Finding the Fourth Proportional to 324.16, 486.32 and 107.74

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Solution

The fourth proportional to 324.16, 486.32 and 107.74 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 486.32 = 107.74 : x
  2. Step 2: Convert to fraction form
    324.16/486.32 = 107.74/x
  3. Step 3: Cross multiply
    324.16x = 486.32 × 107.74
  4. Step 4: Simplify right side
    324.16x = 52,393.69
  5. Step 5: Solve for x
    x = 52,393.69/324.16
  6. Step 6: Final answer
    x = 161.63

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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.