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Finding the Fourth Proportional to 76.94, 106.20 and 75.83

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Solution

The fourth proportional to 76.94, 106.20 and 75.83 is: 104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.94 : 106.20 = 75.83 : x
  2. Step 2: Convert to fraction form
    76.94/106.20 = 75.83/x
  3. Step 3: Cross multiply
    76.94x = 106.20 × 75.83
  4. Step 4: Simplify right side
    76.94x = 8,052.62
  5. Step 5: Solve for x
    x = 8,052.62/76.94
  6. Step 6: Final answer
    x = 104.67

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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.