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Finding the Fourth Proportional to 106.94, 160.41 and 30.94

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Solution

The fourth proportional to 106.94, 160.41 and 30.94 is: 46.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.94 : 160.41 = 30.94 : x
  2. Step 2: Convert to fraction form
    106.94/160.41 = 30.94/x
  3. Step 3: Cross multiply
    106.94x = 160.41 × 30.94
  4. Step 4: Simplify right side
    106.94x = 4,962.93
  5. Step 5: Solve for x
    x = 4,962.93/106.94
  6. Step 6: Final answer
    x = 46.41

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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.