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Finding the Fourth Proportional to 77.29, 106.63 and 49.67

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Solution

The fourth proportional to 77.29, 106.63 and 49.67 is: 68.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.29 : 106.63 = 49.67 : x
  2. Step 2: Convert to fraction form
    77.29/106.63 = 49.67/x
  3. Step 3: Cross multiply
    77.29x = 106.63 × 49.67
  4. Step 4: Simplify right side
    77.29x = 5,296.45
  5. Step 5: Solve for x
    x = 5,296.45/77.29
  6. Step 6: Final answer
    x = 68.53

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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.