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Finding the Fourth Proportional to 57.35, 79.09 and 36.59

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Solution

The fourth proportional to 57.35, 79.09 and 36.59 is: 50.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.35 : 79.09 = 36.59 : x
  2. Step 2: Convert to fraction form
    57.35/79.09 = 36.59/x
  3. Step 3: Cross multiply
    57.35x = 79.09 × 36.59
  4. Step 4: Simplify right side
    57.35x = 2,893.90
  5. Step 5: Solve for x
    x = 2,893.90/57.35
  6. Step 6: Final answer
    x = 50.46

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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.