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Finding the Fourth Proportional to 107.26, 161.76 and 106.11

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Solution

The fourth proportional to 107.26, 161.76 and 106.11 is: 160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 161.76 = 106.11 : x
  2. Step 2: Convert to fraction form
    107.26/161.76 = 106.11/x
  3. Step 3: Cross multiply
    107.26x = 161.76 × 106.11
  4. Step 4: Simplify right side
    107.26x = 17,164.75
  5. Step 5: Solve for x
    x = 17,164.75/107.26
  6. Step 6: Final answer
    x = 160.03

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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.