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Finding the Fourth Proportional to 38.62, 53.31 and 24.09

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Solution

The fourth proportional to 38.62, 53.31 and 24.09 is: 33.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.62 : 53.31 = 24.09 : x
  2. Step 2: Convert to fraction form
    38.62/53.31 = 24.09/x
  3. Step 3: Cross multiply
    38.62x = 53.31 × 24.09
  4. Step 4: Simplify right side
    38.62x = 1,284.24
  5. Step 5: Solve for x
    x = 1,284.24/38.62
  6. Step 6: Final answer
    x = 33.25

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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.