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Finding the Fourth Proportional to 107.07, 160.49 and 49.27

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Solution

The fourth proportional to 107.07, 160.49 and 49.27 is: 73.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.07 : 160.49 = 49.27 : x
  2. Step 2: Convert to fraction form
    107.07/160.49 = 49.27/x
  3. Step 3: Cross multiply
    107.07x = 160.49 × 49.27
  4. Step 4: Simplify right side
    107.07x = 7,907.34
  5. Step 5: Solve for x
    x = 7,907.34/107.07
  6. Step 6: Final answer
    x = 73.85

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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.