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Finding the Fourth Proportional to 77.24, 106.61 and 49.61

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Solution

The fourth proportional to 77.24, 106.61 and 49.61 is: 68.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.24 : 106.61 = 49.61 : x
  2. Step 2: Convert to fraction form
    77.24/106.61 = 49.61/x
  3. Step 3: Cross multiply
    77.24x = 106.61 × 49.61
  4. Step 4: Simplify right side
    77.24x = 5,288.14
  5. Step 5: Solve for x
    x = 5,288.14/77.24
  6. Step 6: Final answer
    x = 68.47

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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.