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Finding the Fourth Proportional to 57.87, 79.89 and 36.06

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Solution

The fourth proportional to 57.87, 79.89 and 36.06 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.87 : 79.89 = 36.06 : x
  2. Step 2: Convert to fraction form
    57.87/79.89 = 36.06/x
  3. Step 3: Cross multiply
    57.87x = 79.89 × 36.06
  4. Step 4: Simplify right side
    57.87x = 2,880.83
  5. Step 5: Solve for x
    x = 2,880.83/57.87
  6. Step 6: Final answer
    x = 49.78

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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.