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Finding the Fourth Proportional to 22.46, 33.50 and 22.28

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Solution

The fourth proportional to 22.46, 33.50 and 22.28 is: 33.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.46 : 33.50 = 22.28 : x
  2. Step 2: Convert to fraction form
    22.46/33.50 = 22.28/x
  3. Step 3: Cross multiply
    22.46x = 33.50 × 22.28
  4. Step 4: Simplify right side
    22.46x = 746.38
  5. Step 5: Solve for x
    x = 746.38/22.46
  6. Step 6: Final answer
    x = 33.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.