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Finding the Fourth Proportional to 36.25, 50.05 and 26.42

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Solution

The fourth proportional to 36.25, 50.05 and 26.42 is: 36.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.25 : 50.05 = 26.42 : x
  2. Step 2: Convert to fraction form
    36.25/50.05 = 26.42/x
  3. Step 3: Cross multiply
    36.25x = 50.05 × 26.42
  4. Step 4: Simplify right side
    36.25x = 1,322.00
  5. Step 5: Solve for x
    x = 1,322.00/36.25
  6. Step 6: Final answer
    x = 36.47

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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.