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Finding the Fourth Proportional to 106.09, 159.08 and 51.94

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Solution

The fourth proportional to 106.09, 159.08 and 51.94 is: 77.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 159.08 = 51.94 : x
  2. Step 2: Convert to fraction form
    106.09/159.08 = 51.94/x
  3. Step 3: Cross multiply
    106.09x = 159.08 × 51.94
  4. Step 4: Simplify right side
    106.09x = 8,262.62
  5. Step 5: Solve for x
    x = 8,262.62/106.09
  6. Step 6: Final answer
    x = 77.88

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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.