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Finding the Fourth Proportional to 63.57, 95.40 and 27.54

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Solution

The fourth proportional to 63.57, 95.40 and 27.54 is: 41.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.57 : 95.40 = 27.54 : x
  2. Step 2: Convert to fraction form
    63.57/95.40 = 27.54/x
  3. Step 3: Cross multiply
    63.57x = 95.40 × 27.54
  4. Step 4: Simplify right side
    63.57x = 2,627.32
  5. Step 5: Solve for x
    x = 2,627.32/63.57
  6. Step 6: Final answer
    x = 41.33

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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.