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Finding the Fourth Proportional to 76.57, 105.67 and 43.83

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Solution

The fourth proportional to 76.57, 105.67 and 43.83 is: 60.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 105.67 = 43.83 : x
  2. Step 2: Convert to fraction form
    76.57/105.67 = 43.83/x
  3. Step 3: Cross multiply
    76.57x = 105.67 × 43.83
  4. Step 4: Simplify right side
    76.57x = 4,631.24
  5. Step 5: Solve for x
    x = 4,631.24/76.57
  6. Step 6: Final answer
    x = 60.48

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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.