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Finding the Fourth Proportional to 216.48, 324.65 and 106.73

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Solution

The fourth proportional to 216.48, 324.65 and 106.73 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.48 : 324.65 = 106.73 : x
  2. Step 2: Convert to fraction form
    216.48/324.65 = 106.73/x
  3. Step 3: Cross multiply
    216.48x = 324.65 × 106.73
  4. Step 4: Simplify right side
    216.48x = 34,648.54
  5. Step 5: Solve for x
    x = 34,648.54/216.48
  6. Step 6: Final answer
    x = 160.05

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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.