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Finding the Fourth Proportional to 323.02, 484.41 and 106.54

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Solution

The fourth proportional to 323.02, 484.41 and 106.54 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.02 : 484.41 = 106.54 : x
  2. Step 2: Convert to fraction form
    323.02/484.41 = 106.54/x
  3. Step 3: Cross multiply
    323.02x = 484.41 × 106.54
  4. Step 4: Simplify right side
    323.02x = 51,609.04
  5. Step 5: Solve for x
    x = 51,609.04/323.02
  6. Step 6: Final answer
    x = 159.77

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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.