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Finding the Fourth Proportional to 77.94, 106.94 and 75.89

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Solution

The fourth proportional to 77.94, 106.94 and 75.89 is: 104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.94 : 106.94 = 75.89 : x
  2. Step 2: Convert to fraction form
    77.94/106.94 = 75.89/x
  3. Step 3: Cross multiply
    77.94x = 106.94 × 75.89
  4. Step 4: Simplify right side
    77.94x = 8,114.76
  5. Step 5: Solve for x
    x = 8,114.76/77.94
  6. Step 6: Final answer
    x = 104.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.