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Finding the Fourth Proportional to 107.91, 162.63 and 97.09

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Solution

The fourth proportional to 107.91, 162.63 and 97.09 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 162.63 = 97.09 : x
  2. Step 2: Convert to fraction form
    107.91/162.63 = 97.09/x
  3. Step 3: Cross multiply
    107.91x = 162.63 × 97.09
  4. Step 4: Simplify right side
    107.91x = 15,789.80
  5. Step 5: Solve for x
    x = 15,789.80/107.91
  6. Step 6: Final answer
    x = 146.32

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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.