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Finding the Fourth Proportional to 325.13, 487.77 and 108.71

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Solution

The fourth proportional to 325.13, 487.77 and 108.71 is: 163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.13 : 487.77 = 108.71 : x
  2. Step 2: Convert to fraction form
    325.13/487.77 = 108.71/x
  3. Step 3: Cross multiply
    325.13x = 487.77 × 108.71
  4. Step 4: Simplify right side
    325.13x = 53,024.46
  5. Step 5: Solve for x
    x = 53,024.46/325.13
  6. Step 6: Final answer
    x = 163.09

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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.