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Finding the Fourth Proportional to 64.97, 97.46 and 24.39

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Solution

The fourth proportional to 64.97, 97.46 and 24.39 is: 36.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 97.46 = 24.39 : x
  2. Step 2: Convert to fraction form
    64.97/97.46 = 24.39/x
  3. Step 3: Cross multiply
    64.97x = 97.46 × 24.39
  4. Step 4: Simplify right side
    64.97x = 2,377.11
  5. Step 5: Solve for x
    x = 2,377.11/64.97
  6. Step 6: Final answer
    x = 36.59

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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.