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Finding the Fourth Proportional to 39.86, 55.00 and 22.37

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Solution

The fourth proportional to 39.86, 55.00 and 22.37 is: 30.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.86 : 55.00 = 22.37 : x
  2. Step 2: Convert to fraction form
    39.86/55.00 = 22.37/x
  3. Step 3: Cross multiply
    39.86x = 55.00 × 22.37
  4. Step 4: Simplify right side
    39.86x = 1,230.41
  5. Step 5: Solve for x
    x = 1,230.41/39.86
  6. Step 6: Final answer
    x = 30.87

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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.