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Finding the Fourth Proportional to 57.94, 87.02 and 49.83

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Solution

The fourth proportional to 57.94, 87.02 and 49.83 is: 74.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.94 : 87.02 = 49.83 : x
  2. Step 2: Convert to fraction form
    57.94/87.02 = 49.83/x
  3. Step 3: Cross multiply
    57.94x = 87.02 × 49.83
  4. Step 4: Simplify right side
    57.94x = 4,336.21
  5. Step 5: Solve for x
    x = 4,336.21/57.94
  6. Step 6: Final answer
    x = 74.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.