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Finding the Fourth Proportional to 107.07, 160.64 and 82.97

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Solution

The fourth proportional to 107.07, 160.64 and 82.97 is: 124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.07 : 160.64 = 82.97 : x
  2. Step 2: Convert to fraction form
    107.07/160.64 = 82.97/x
  3. Step 3: Cross multiply
    107.07x = 160.64 × 82.97
  4. Step 4: Simplify right side
    107.07x = 13,328.00
  5. Step 5: Solve for x
    x = 13,328.00/107.07
  6. Step 6: Final answer
    x = 124.48

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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.