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Finding the Fourth Proportional to 76.22, 104.96 and 65.27

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Solution

The fourth proportional to 76.22, 104.96 and 65.27 is: 89.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 104.96 = 65.27 : x
  2. Step 2: Convert to fraction form
    76.22/104.96 = 65.27/x
  3. Step 3: Cross multiply
    76.22x = 104.96 × 65.27
  4. Step 4: Simplify right side
    76.22x = 6,850.41
  5. Step 5: Solve for x
    x = 6,850.41/76.22
  6. Step 6: Final answer
    x = 89.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.