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Finding the Fourth Proportional to 63.14, 94.68 and 32.72

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Solution

The fourth proportional to 63.14, 94.68 and 32.72 is: 49.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.14 : 94.68 = 32.72 : x
  2. Step 2: Convert to fraction form
    63.14/94.68 = 32.72/x
  3. Step 3: Cross multiply
    63.14x = 94.68 × 32.72
  4. Step 4: Simplify right side
    63.14x = 3,097.46
  5. Step 5: Solve for x
    x = 3,097.46/63.14
  6. Step 6: Final answer
    x = 49.06

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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.