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Finding the Fourth Proportional to 64.82, 97.23 and 24.23

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Solution

The fourth proportional to 64.82, 97.23 and 24.23 is: 36.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.82 : 97.23 = 24.23 : x
  2. Step 2: Convert to fraction form
    64.82/97.23 = 24.23/x
  3. Step 3: Cross multiply
    64.82x = 97.23 × 24.23
  4. Step 4: Simplify right side
    64.82x = 2,355.82
  5. Step 5: Solve for x
    x = 2,355.82/64.82
  6. Step 6: Final answer
    x = 36.34

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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.