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Finding the Fourth Proportional to 63.08, 94.24 and 52.83

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Solution

The fourth proportional to 63.08, 94.24 and 52.83 is: 78.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.08 : 94.24 = 52.83 : x
  2. Step 2: Convert to fraction form
    63.08/94.24 = 52.83/x
  3. Step 3: Cross multiply
    63.08x = 94.24 × 52.83
  4. Step 4: Simplify right side
    63.08x = 4,978.57
  5. Step 5: Solve for x
    x = 4,978.57/63.08
  6. Step 6: Final answer
    x = 78.92

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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.