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Finding the Fourth Proportional to 40.54, 55.92 and 36.22

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Solution

The fourth proportional to 40.54, 55.92 and 36.22 is: 49.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.54 : 55.92 = 36.22 : x
  2. Step 2: Convert to fraction form
    40.54/55.92 = 36.22/x
  3. Step 3: Cross multiply
    40.54x = 55.92 × 36.22
  4. Step 4: Simplify right side
    40.54x = 2,025.42
  5. Step 5: Solve for x
    x = 2,025.42/40.54
  6. Step 6: Final answer
    x = 49.96

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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.