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Finding the Fourth Proportional to 40.26, 55.26 and 36.12

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Solution

The fourth proportional to 40.26, 55.26 and 36.12 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.26 : 55.26 = 36.12 : x
  2. Step 2: Convert to fraction form
    40.26/55.26 = 36.12/x
  3. Step 3: Cross multiply
    40.26x = 55.26 × 36.12
  4. Step 4: Simplify right side
    40.26x = 1,995.99
  5. Step 5: Solve for x
    x = 1,995.99/40.26
  6. Step 6: Final answer
    x = 49.58

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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.