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Finding the Fourth Proportional to 77.45, 106.80 and 68.71

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Solution

The fourth proportional to 77.45, 106.80 and 68.71 is: 94.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.45 : 106.80 = 68.71 : x
  2. Step 2: Convert to fraction form
    77.45/106.80 = 68.71/x
  3. Step 3: Cross multiply
    77.45x = 106.80 × 68.71
  4. Step 4: Simplify right side
    77.45x = 7,338.23
  5. Step 5: Solve for x
    x = 7,338.23/77.45
  6. Step 6: Final answer
    x = 94.75

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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.