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Finding the Fourth Proportional to 39.31, 59.12 and 33.23

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Solution

The fourth proportional to 39.31, 59.12 and 33.23 is: 49.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.31 : 59.12 = 33.23 : x
  2. Step 2: Convert to fraction form
    39.31/59.12 = 33.23/x
  3. Step 3: Cross multiply
    39.31x = 59.12 × 33.23
  4. Step 4: Simplify right side
    39.31x = 1,964.66
  5. Step 5: Solve for x
    x = 1,964.66/39.31
  6. Step 6: Final answer
    x = 49.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.