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Finding the Fourth Proportional to 36.54, 50.35 and 26.17

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Solution

The fourth proportional to 36.54, 50.35 and 26.17 is: 36.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.54 : 50.35 = 26.17 : x
  2. Step 2: Convert to fraction form
    36.54/50.35 = 26.17/x
  3. Step 3: Cross multiply
    36.54x = 50.35 × 26.17
  4. Step 4: Simplify right side
    36.54x = 1,317.66
  5. Step 5: Solve for x
    x = 1,317.66/36.54
  6. Step 6: Final answer
    x = 36.06

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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.