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Finding the Fourth Proportional to 57.98, 79.81 and 50.69

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Solution

The fourth proportional to 57.98, 79.81 and 50.69 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.98 : 79.81 = 50.69 : x
  2. Step 2: Convert to fraction form
    57.98/79.81 = 50.69/x
  3. Step 3: Cross multiply
    57.98x = 79.81 × 50.69
  4. Step 4: Simplify right side
    57.98x = 4,045.32
  5. Step 5: Solve for x
    x = 4,045.32/57.98
  6. Step 6: Final answer
    x = 69.77

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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.