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Finding the Fourth Proportional to 36.26, 53.94 and 36.14

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Solution

The fourth proportional to 36.26, 53.94 and 36.14 is: 53.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.26 : 53.94 = 36.14 : x
  2. Step 2: Convert to fraction form
    36.26/53.94 = 36.14/x
  3. Step 3: Cross multiply
    36.26x = 53.94 × 36.14
  4. Step 4: Simplify right side
    36.26x = 1,949.12
  5. Step 5: Solve for x
    x = 1,949.12/36.26
  6. Step 6: Final answer
    x = 53.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.