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Finding the Fourth Proportional to 107.75, 160.75 and 106.94

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Solution

The fourth proportional to 107.75, 160.75 and 106.94 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.75 : 160.75 = 106.94 : x
  2. Step 2: Convert to fraction form
    107.75/160.75 = 106.94/x
  3. Step 3: Cross multiply
    107.75x = 160.75 × 106.94
  4. Step 4: Simplify right side
    107.75x = 17,190.61
  5. Step 5: Solve for x
    x = 17,190.61/107.75
  6. Step 6: Final answer
    x = 159.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.