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Finding the Fourth Proportional to 46.34, 69.44 and 28.27

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Solution

The fourth proportional to 46.34, 69.44 and 28.27 is: 42.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.34 : 69.44 = 28.27 : x
  2. Step 2: Convert to fraction form
    46.34/69.44 = 28.27/x
  3. Step 3: Cross multiply
    46.34x = 69.44 × 28.27
  4. Step 4: Simplify right side
    46.34x = 1,963.01
  5. Step 5: Solve for x
    x = 1,963.01/46.34
  6. Step 6: Final answer
    x = 42.36

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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.