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Finding the Fourth Proportional to 107.85, 161.77 and 49.89

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Solution

The fourth proportional to 107.85, 161.77 and 49.89 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.85 : 161.77 = 49.89 : x
  2. Step 2: Convert to fraction form
    107.85/161.77 = 49.89/x
  3. Step 3: Cross multiply
    107.85x = 161.77 × 49.89
  4. Step 4: Simplify right side
    107.85x = 8,070.71
  5. Step 5: Solve for x
    x = 8,070.71/107.85
  6. Step 6: Final answer
    x = 74.83

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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.