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Finding the Fourth Proportional to 34.49, 47.31 and 32.06

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Solution

The fourth proportional to 34.49, 47.31 and 32.06 is: 43.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.49 : 47.31 = 32.06 : x
  2. Step 2: Convert to fraction form
    34.49/47.31 = 32.06/x
  3. Step 3: Cross multiply
    34.49x = 47.31 × 32.06
  4. Step 4: Simplify right side
    34.49x = 1,516.60
  5. Step 5: Solve for x
    x = 1,516.60/34.49
  6. Step 6: Final answer
    x = 43.97

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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.