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Finding the Fourth Proportional to 39.47, 54.34 and 35.09

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Solution

The fourth proportional to 39.47, 54.34 and 35.09 is: 48.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.47 : 54.34 = 35.09 : x
  2. Step 2: Convert to fraction form
    39.47/54.34 = 35.09/x
  3. Step 3: Cross multiply
    39.47x = 54.34 × 35.09
  4. Step 4: Simplify right side
    39.47x = 1,906.79
  5. Step 5: Solve for x
    x = 1,906.79/39.47
  6. Step 6: Final answer
    x = 48.31

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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.