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Finding the Fourth Proportional to 64.82, 97.21 and 32.33

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Solution

The fourth proportional to 64.82, 97.21 and 32.33 is: 48.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.82 : 97.21 = 32.33 : x
  2. Step 2: Convert to fraction form
    64.82/97.21 = 32.33/x
  3. Step 3: Cross multiply
    64.82x = 97.21 × 32.33
  4. Step 4: Simplify right side
    64.82x = 3,142.80
  5. Step 5: Solve for x
    x = 3,142.80/64.82
  6. Step 6: Final answer
    x = 48.49

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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.