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Finding the Fourth Proportional to 113.35, 170.83 and 107.07

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Solution

The fourth proportional to 113.35, 170.83 and 107.07 is: 161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.35 : 170.83 = 107.07 : x
  2. Step 2: Convert to fraction form
    113.35/170.83 = 107.07/x
  3. Step 3: Cross multiply
    113.35x = 170.83 × 107.07
  4. Step 4: Simplify right side
    113.35x = 18,290.77
  5. Step 5: Solve for x
    x = 18,290.77/113.35
  6. Step 6: Final answer
    x = 161.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.