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Finding the Fourth Proportional to 63.10, 94.24 and 55

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Solution

The fourth proportional to 63.10, 94.24 and 55 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.10 : 94.24 = 55 : x
  2. Step 2: Convert to fraction form
    63.10/94.24 = 55/x
  3. Step 3: Cross multiply
    63.10x = 94.24 × 55
  4. Step 4: Simplify right side
    63.10x = 5,183.20
  5. Step 5: Solve for x
    x = 5,183.20/63.10
  6. Step 6: Final answer
    x = 82.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.