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Finding the Fourth Proportional to 63.16, 94.75 and 22.57

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Solution

The fourth proportional to 63.16, 94.75 and 22.57 is: 33.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.16 : 94.75 = 22.57 : x
  2. Step 2: Convert to fraction form
    63.16/94.75 = 22.57/x
  3. Step 3: Cross multiply
    63.16x = 94.75 × 22.57
  4. Step 4: Simplify right side
    63.16x = 2,137.92
  5. Step 5: Solve for x
    x = 2,137.92/63.16
  6. Step 6: Final answer
    x = 33.85

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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.