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Finding the Fourth Proportional to 46.24, 63.76 and 44.44

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Solution

The fourth proportional to 46.24, 63.76 and 44.44 is: 61.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.24 : 63.76 = 44.44 : x
  2. Step 2: Convert to fraction form
    46.24/63.76 = 44.44/x
  3. Step 3: Cross multiply
    46.24x = 63.76 × 44.44
  4. Step 4: Simplify right side
    46.24x = 2,833.49
  5. Step 5: Solve for x
    x = 2,833.49/46.24
  6. Step 6: Final answer
    x = 61.28

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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.