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Finding the Fourth Proportional to 64.45, 96.66 and 23.86

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Solution

The fourth proportional to 64.45, 96.66 and 23.86 is: 35.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.45 : 96.66 = 23.86 : x
  2. Step 2: Convert to fraction form
    64.45/96.66 = 23.86/x
  3. Step 3: Cross multiply
    64.45x = 96.66 × 23.86
  4. Step 4: Simplify right side
    64.45x = 2,306.13
  5. Step 5: Solve for x
    x = 2,306.13/64.45
  6. Step 6: Final answer
    x = 35.78

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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.