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Finding the Fourth Proportional to 63.20, 94.71 and 32.70

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Solution

The fourth proportional to 63.20, 94.71 and 32.70 is: 49.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.20 : 94.71 = 32.70 : x
  2. Step 2: Convert to fraction form
    63.20/94.71 = 32.70/x
  3. Step 3: Cross multiply
    63.20x = 94.71 × 32.70
  4. Step 4: Simplify right side
    63.20x = 3,097.49
  5. Step 5: Solve for x
    x = 3,097.49/63.20
  6. Step 6: Final answer
    x = 49.01

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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.