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Finding the Fourth Proportional to 217.21, 325.82 and 54.90

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Solution

The fourth proportional to 217.21, 325.82 and 54.90 is: 82.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.21 : 325.82 = 54.90 : x
  2. Step 2: Convert to fraction form
    217.21/325.82 = 54.90/x
  3. Step 3: Cross multiply
    217.21x = 325.82 × 54.90
  4. Step 4: Simplify right side
    217.21x = 17,887.52
  5. Step 5: Solve for x
    x = 17,887.52/217.21
  6. Step 6: Final answer
    x = 82.35

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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.