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Finding the Fourth Proportional to 77.46, 106.83 and 60

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Solution

The fourth proportional to 77.46, 106.83 and 60 is: 82.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.46 : 106.83 = 60 : x
  2. Step 2: Convert to fraction form
    77.46/106.83 = 60/x
  3. Step 3: Cross multiply
    77.46x = 106.83 × 60
  4. Step 4: Simplify right side
    77.46x = 6,409.80
  5. Step 5: Solve for x
    x = 6,409.80/77.46
  6. Step 6: Final answer
    x = 82.75

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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.