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Finding the Fourth Proportional to 39.92, 55.16 and 38.05

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Solution

The fourth proportional to 39.92, 55.16 and 38.05 is: 52.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.92 : 55.16 = 38.05 : x
  2. Step 2: Convert to fraction form
    39.92/55.16 = 38.05/x
  3. Step 3: Cross multiply
    39.92x = 55.16 × 38.05
  4. Step 4: Simplify right side
    39.92x = 2,098.84
  5. Step 5: Solve for x
    x = 2,098.84/39.92
  6. Step 6: Final answer
    x = 52.58

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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.