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Finding the Fourth Proportional to 107.67, 148.73 and 97.28

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Solution

The fourth proportional to 107.67, 148.73 and 97.28 is: 134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.67 : 148.73 = 97.28 : x
  2. Step 2: Convert to fraction form
    107.67/148.73 = 97.28/x
  3. Step 3: Cross multiply
    107.67x = 148.73 × 97.28
  4. Step 4: Simplify right side
    107.67x = 14,467.22
  5. Step 5: Solve for x
    x = 14,467.22/107.67
  6. Step 6: Final answer
    x = 134.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.