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Finding the Fourth Proportional to 63.77, 95.64 and 23.22

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Solution

The fourth proportional to 63.77, 95.64 and 23.22 is: 34.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.77 : 95.64 = 23.22 : x
  2. Step 2: Convert to fraction form
    63.77/95.64 = 23.22/x
  3. Step 3: Cross multiply
    63.77x = 95.64 × 23.22
  4. Step 4: Simplify right side
    63.77x = 2,220.41
  5. Step 5: Solve for x
    x = 2,220.41/63.77
  6. Step 6: Final answer
    x = 34.82

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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.