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Finding the Fourth Proportional to 46.22, 69.27 and 22.10

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Solution

The fourth proportional to 46.22, 69.27 and 22.10 is: 33.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.22 : 69.27 = 22.10 : x
  2. Step 2: Convert to fraction form
    46.22/69.27 = 22.10/x
  3. Step 3: Cross multiply
    46.22x = 69.27 × 22.10
  4. Step 4: Simplify right side
    46.22x = 1,530.87
  5. Step 5: Solve for x
    x = 1,530.87/46.22
  6. Step 6: Final answer
    x = 33.12

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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.