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Finding the Fourth Proportional to 107.62, 148.24 and 91.97

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Solution

The fourth proportional to 107.62, 148.24 and 91.97 is: 126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.62 : 148.24 = 91.97 : x
  2. Step 2: Convert to fraction form
    107.62/148.24 = 91.97/x
  3. Step 3: Cross multiply
    107.62x = 148.24 × 91.97
  4. Step 4: Simplify right side
    107.62x = 13,633.63
  5. Step 5: Solve for x
    x = 13,633.63/107.62
  6. Step 6: Final answer
    x = 126.68

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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.