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Finding the Fourth Proportional to 45.46, 68.22 and 22.64

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Solution

The fourth proportional to 45.46, 68.22 and 22.64 is: 33.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.46 : 68.22 = 22.64 : x
  2. Step 2: Convert to fraction form
    45.46/68.22 = 22.64/x
  3. Step 3: Cross multiply
    45.46x = 68.22 × 22.64
  4. Step 4: Simplify right side
    45.46x = 1,544.50
  5. Step 5: Solve for x
    x = 1,544.50/45.46
  6. Step 6: Final answer
    x = 33.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.