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Finding the Fourth Proportional to 77.28, 106.61 and 49.65

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Solution

The fourth proportional to 77.28, 106.61 and 49.65 is: 68.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.28 : 106.61 = 49.65 : x
  2. Step 2: Convert to fraction form
    77.28/106.61 = 49.65/x
  3. Step 3: Cross multiply
    77.28x = 106.61 × 49.65
  4. Step 4: Simplify right side
    77.28x = 5,293.19
  5. Step 5: Solve for x
    x = 5,293.19/77.28
  6. Step 6: Final answer
    x = 68.49

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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.