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Finding the Fourth Proportional to 22.46, 31.08 and 22.28

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Solution

The fourth proportional to 22.46, 31.08 and 22.28 is: 30.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.46 : 31.08 = 22.28 : x
  2. Step 2: Convert to fraction form
    22.46/31.08 = 22.28/x
  3. Step 3: Cross multiply
    22.46x = 31.08 × 22.28
  4. Step 4: Simplify right side
    22.46x = 692.46
  5. Step 5: Solve for x
    x = 692.46/22.46
  6. Step 6: Final answer
    x = 30.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.