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Finding the Fourth Proportional to 65.11, 97.66 and 24.52

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Solution

The fourth proportional to 65.11, 97.66 and 24.52 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.11 : 97.66 = 24.52 : x
  2. Step 2: Convert to fraction form
    65.11/97.66 = 24.52/x
  3. Step 3: Cross multiply
    65.11x = 97.66 × 24.52
  4. Step 4: Simplify right side
    65.11x = 2,394.62
  5. Step 5: Solve for x
    x = 2,394.62/65.11
  6. Step 6: Final answer
    x = 36.78

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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.