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Finding the Fourth Proportional to 106.67, 159.98 and 51.82

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Solution

The fourth proportional to 106.67, 159.98 and 51.82 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.67 : 159.98 = 51.82 : x
  2. Step 2: Convert to fraction form
    106.67/159.98 = 51.82/x
  3. Step 3: Cross multiply
    106.67x = 159.98 × 51.82
  4. Step 4: Simplify right side
    106.67x = 8,289.50
  5. Step 5: Solve for x
    x = 8,289.50/106.67
  6. Step 6: Final answer
    x = 77.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.