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Finding the Fourth Proportional to 36.38, 50.16 and 26

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Solution

The fourth proportional to 36.38, 50.16 and 26 is: 35.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.38 : 50.16 = 26 : x
  2. Step 2: Convert to fraction form
    36.38/50.16 = 26/x
  3. Step 3: Cross multiply
    36.38x = 50.16 × 26
  4. Step 4: Simplify right side
    36.38x = 1,304.16
  5. Step 5: Solve for x
    x = 1,304.16/36.38
  6. Step 6: Final answer
    x = 35.85

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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.