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Finding the Fourth Proportional to 33.02, 49.57 and 22.16

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Solution

The fourth proportional to 33.02, 49.57 and 22.16 is: 33.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.02 : 49.57 = 22.16 : x
  2. Step 2: Convert to fraction form
    33.02/49.57 = 22.16/x
  3. Step 3: Cross multiply
    33.02x = 49.57 × 22.16
  4. Step 4: Simplify right side
    33.02x = 1,098.17
  5. Step 5: Solve for x
    x = 1,098.17/33.02
  6. Step 6: Final answer
    x = 33.26

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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.