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Finding the Fourth Proportional to 106.09, 159.06 and 33.94

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Solution

The fourth proportional to 106.09, 159.06 and 33.94 is: 50.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 159.06 = 33.94 : x
  2. Step 2: Convert to fraction form
    106.09/159.06 = 33.94/x
  3. Step 3: Cross multiply
    106.09x = 159.06 × 33.94
  4. Step 4: Simplify right side
    106.09x = 5,398.50
  5. Step 5: Solve for x
    x = 5,398.50/106.09
  6. Step 6: Final answer
    x = 50.89

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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.