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Finding the Fourth Proportional to 39.92, 55.08 and 23.56

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Solution

The fourth proportional to 39.92, 55.08 and 23.56 is: 32.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.92 : 55.08 = 23.56 : x
  2. Step 2: Convert to fraction form
    39.92/55.08 = 23.56/x
  3. Step 3: Cross multiply
    39.92x = 55.08 × 23.56
  4. Step 4: Simplify right side
    39.92x = 1,297.55
  5. Step 5: Solve for x
    x = 1,297.55/39.92
  6. Step 6: Final answer
    x = 32.51

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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.