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Finding the Fourth Proportional to 106.08, 159.14 and 33.95

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Solution

The fourth proportional to 106.08, 159.14 and 33.95 is: 50.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 159.14 = 33.95 : x
  2. Step 2: Convert to fraction form
    106.08/159.14 = 33.95/x
  3. Step 3: Cross multiply
    106.08x = 159.14 × 33.95
  4. Step 4: Simplify right side
    106.08x = 5,401.84
  5. Step 5: Solve for x
    x = 5,401.84/106.08
  6. Step 6: Final answer
    x = 50.92

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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.