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Finding the Fourth Proportional to 38.46, 53.08 and 22.09

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Solution

The fourth proportional to 38.46, 53.08 and 22.09 is: 30.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.46 : 53.08 = 22.09 : x
  2. Step 2: Convert to fraction form
    38.46/53.08 = 22.09/x
  3. Step 3: Cross multiply
    38.46x = 53.08 × 22.09
  4. Step 4: Simplify right side
    38.46x = 1,172.35
  5. Step 5: Solve for x
    x = 1,172.35/38.46
  6. Step 6: Final answer
    x = 30.48

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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.