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Finding the Fourth Proportional to 40.22, 55.26 and 34.07

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Solution

The fourth proportional to 40.22, 55.26 and 34.07 is: 46.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.22 : 55.26 = 34.07 : x
  2. Step 2: Convert to fraction form
    40.22/55.26 = 34.07/x
  3. Step 3: Cross multiply
    40.22x = 55.26 × 34.07
  4. Step 4: Simplify right side
    40.22x = 1,882.43
  5. Step 5: Solve for x
    x = 1,882.43/40.22
  6. Step 6: Final answer
    x = 46.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.