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Finding the Fourth Proportional to 107.86, 161.44 and 91.26

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Solution

The fourth proportional to 107.86, 161.44 and 91.26 is: 136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.86 : 161.44 = 91.26 : x
  2. Step 2: Convert to fraction form
    107.86/161.44 = 91.26/x
  3. Step 3: Cross multiply
    107.86x = 161.44 × 91.26
  4. Step 4: Simplify right side
    107.86x = 14,733.01
  5. Step 5: Solve for x
    x = 14,733.01/107.86
  6. Step 6: Final answer
    x = 136.59

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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.