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Finding the Fourth Proportional to 106.70, 160.05 and 34.56

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Solution

The fourth proportional to 106.70, 160.05 and 34.56 is: 51.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.70 : 160.05 = 34.56 : x
  2. Step 2: Convert to fraction form
    106.70/160.05 = 34.56/x
  3. Step 3: Cross multiply
    106.70x = 160.05 × 34.56
  4. Step 4: Simplify right side
    106.70x = 5,531.33
  5. Step 5: Solve for x
    x = 5,531.33/106.70
  6. Step 6: Final answer
    x = 51.84

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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.