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Finding the Fourth Proportional to 106.83, 160.21 and 34.65

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Solution

The fourth proportional to 106.83, 160.21 and 34.65 is: 51.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 160.21 = 34.65 : x
  2. Step 2: Convert to fraction form
    106.83/160.21 = 34.65/x
  3. Step 3: Cross multiply
    106.83x = 160.21 × 34.65
  4. Step 4: Simplify right side
    106.83x = 5,551.28
  5. Step 5: Solve for x
    x = 5,551.28/106.83
  6. Step 6: Final answer
    x = 51.96

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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.