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Finding the Fourth Proportional to 46.44, 69.68 and 28.36

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Solution

The fourth proportional to 46.44, 69.68 and 28.36 is: 42.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.44 : 69.68 = 28.36 : x
  2. Step 2: Convert to fraction form
    46.44/69.68 = 28.36/x
  3. Step 3: Cross multiply
    46.44x = 69.68 × 28.36
  4. Step 4: Simplify right side
    46.44x = 1,976.12
  5. Step 5: Solve for x
    x = 1,976.12/46.44
  6. Step 6: Final answer
    x = 42.55

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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.