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Finding the Fourth Proportional to 46.02, 69.09 and 21.96

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Solution

The fourth proportional to 46.02, 69.09 and 21.96 is: 32.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 69.09 = 21.96 : x
  2. Step 2: Convert to fraction form
    46.02/69.09 = 21.96/x
  3. Step 3: Cross multiply
    46.02x = 69.09 × 21.96
  4. Step 4: Simplify right side
    46.02x = 1,517.22
  5. Step 5: Solve for x
    x = 1,517.22/46.02
  6. Step 6: Final answer
    x = 32.97

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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.