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Finding the Fourth Proportional to 63.22, 94.86 and 54.16

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Solution

The fourth proportional to 63.22, 94.86 and 54.16 is: 81.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.22 : 94.86 = 54.16 : x
  2. Step 2: Convert to fraction form
    63.22/94.86 = 54.16/x
  3. Step 3: Cross multiply
    63.22x = 94.86 × 54.16
  4. Step 4: Simplify right side
    63.22x = 5,137.62
  5. Step 5: Solve for x
    x = 5,137.62/63.22
  6. Step 6: Final answer
    x = 81.27

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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.