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Finding the Fourth Proportional to 57.69, 79.61 and 36.97

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Solution

The fourth proportional to 57.69, 79.61 and 36.97 is: 51.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.69 : 79.61 = 36.97 : x
  2. Step 2: Convert to fraction form
    57.69/79.61 = 36.97/x
  3. Step 3: Cross multiply
    57.69x = 79.61 × 36.97
  4. Step 4: Simplify right side
    57.69x = 2,943.18
  5. Step 5: Solve for x
    x = 2,943.18/57.69
  6. Step 6: Final answer
    x = 51.02

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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.