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Finding the Fourth Proportional to 107.07, 160.82 and 102.26

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Solution

The fourth proportional to 107.07, 160.82 and 102.26 is: 153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.07 : 160.82 = 102.26 : x
  2. Step 2: Convert to fraction form
    107.07/160.82 = 102.26/x
  3. Step 3: Cross multiply
    107.07x = 160.82 × 102.26
  4. Step 4: Simplify right side
    107.07x = 16,445.73
  5. Step 5: Solve for x
    x = 16,445.73/107.07
  6. Step 6: Final answer
    x = 153.59

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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.