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Finding the Fourth Proportional to 63, 94.46 and 32.54

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Solution

The fourth proportional to 63, 94.46 and 32.54 is: 48.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63 : 94.46 = 32.54 : x
  2. Step 2: Convert to fraction form
    63/94.46 = 32.54/x
  3. Step 3: Cross multiply
    63x = 94.46 × 32.54
  4. Step 4: Simplify right side
    63x = 3,073.73
  5. Step 5: Solve for x
    x = 3,073.73/63
  6. Step 6: Final answer
    x = 48.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.