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Finding the Fourth Proportional to 77.52, 106.74 and 68.65

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Solution

The fourth proportional to 77.52, 106.74 and 68.65 is: 94.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.52 : 106.74 = 68.65 : x
  2. Step 2: Convert to fraction form
    77.52/106.74 = 68.65/x
  3. Step 3: Cross multiply
    77.52x = 106.74 × 68.65
  4. Step 4: Simplify right side
    77.52x = 7,327.70
  5. Step 5: Solve for x
    x = 7,327.70/77.52
  6. Step 6: Final answer
    x = 94.53

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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.