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Finding the Fourth Proportional to 77.42, 106.83 and 49.80

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Solution

The fourth proportional to 77.42, 106.83 and 49.80 is: 68.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 106.83 = 49.80 : x
  2. Step 2: Convert to fraction form
    77.42/106.83 = 49.80/x
  3. Step 3: Cross multiply
    77.42x = 106.83 × 49.80
  4. Step 4: Simplify right side
    77.42x = 5,320.13
  5. Step 5: Solve for x
    x = 5,320.13/77.42
  6. Step 6: Final answer
    x = 68.72

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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.