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Finding the Fourth Proportional to 36.58, 50.42 and 28.79

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Solution

The fourth proportional to 36.58, 50.42 and 28.79 is: 39.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.58 : 50.42 = 28.79 : x
  2. Step 2: Convert to fraction form
    36.58/50.42 = 28.79/x
  3. Step 3: Cross multiply
    36.58x = 50.42 × 28.79
  4. Step 4: Simplify right side
    36.58x = 1,451.66
  5. Step 5: Solve for x
    x = 1,451.66/36.58
  6. Step 6: Final answer
    x = 39.69

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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.