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Finding the Fourth Proportional to 46.30, 63.83 and 32.27

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Solution

The fourth proportional to 46.30, 63.83 and 32.27 is: 44.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.30 : 63.83 = 32.27 : x
  2. Step 2: Convert to fraction form
    46.30/63.83 = 32.27/x
  3. Step 3: Cross multiply
    46.30x = 63.83 × 32.27
  4. Step 4: Simplify right side
    46.30x = 2,059.63
  5. Step 5: Solve for x
    x = 2,059.63/46.30
  6. Step 6: Final answer
    x = 44.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.