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Finding the Fourth Proportional to 38.57, 53.22 and 22.19

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Solution

The fourth proportional to 38.57, 53.22 and 22.19 is: 30.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.57 : 53.22 = 22.19 : x
  2. Step 2: Convert to fraction form
    38.57/53.22 = 22.19/x
  3. Step 3: Cross multiply
    38.57x = 53.22 × 22.19
  4. Step 4: Simplify right side
    38.57x = 1,180.84
  5. Step 5: Solve for x
    x = 1,180.84/38.57
  6. Step 6: Final answer
    x = 30.62

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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.