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Finding the Fourth Proportional to 106.82, 160.22 and 45.16

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Solution

The fourth proportional to 106.82, 160.22 and 45.16 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.82 : 160.22 = 45.16 : x
  2. Step 2: Convert to fraction form
    106.82/160.22 = 45.16/x
  3. Step 3: Cross multiply
    106.82x = 160.22 × 45.16
  4. Step 4: Simplify right side
    106.82x = 7,235.54
  5. Step 5: Solve for x
    x = 7,235.54/106.82
  6. Step 6: Final answer
    x = 67.74

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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.