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Finding the Fourth Proportional to 38.44, 53.05 and 22.08

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Solution

The fourth proportional to 38.44, 53.05 and 22.08 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.44 : 53.05 = 22.08 : x
  2. Step 2: Convert to fraction form
    38.44/53.05 = 22.08/x
  3. Step 3: Cross multiply
    38.44x = 53.05 × 22.08
  4. Step 4: Simplify right side
    38.44x = 1,171.32
  5. Step 5: Solve for x
    x = 1,171.32/38.44
  6. Step 6: Final answer
    x = 30.47

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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.