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Finding the Fourth Proportional to 39.54, 54.36 and 34.06

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Solution

The fourth proportional to 39.54, 54.36 and 34.06 is: 46.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.54 : 54.36 = 34.06 : x
  2. Step 2: Convert to fraction form
    39.54/54.36 = 34.06/x
  3. Step 3: Cross multiply
    39.54x = 54.36 × 34.06
  4. Step 4: Simplify right side
    39.54x = 1,851.50
  5. Step 5: Solve for x
    x = 1,851.50/39.54
  6. Step 6: Final answer
    x = 46.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.