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Finding the Fourth Proportional to 77.42, 106.80 and 49.77

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Solution

The fourth proportional to 77.42, 106.80 and 49.77 is: 68.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 106.80 = 49.77 : x
  2. Step 2: Convert to fraction form
    77.42/106.80 = 49.77/x
  3. Step 3: Cross multiply
    77.42x = 106.80 × 49.77
  4. Step 4: Simplify right side
    77.42x = 5,315.44
  5. Step 5: Solve for x
    x = 5,315.44/77.42
  6. Step 6: Final answer
    x = 68.66

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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.