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Finding the Fourth Proportional to 107.87, 160.59 and 106.35

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Solution

The fourth proportional to 107.87, 160.59 and 106.35 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 160.59 = 106.35 : x
  2. Step 2: Convert to fraction form
    107.87/160.59 = 106.35/x
  3. Step 3: Cross multiply
    107.87x = 160.59 × 106.35
  4. Step 4: Simplify right side
    107.87x = 17,078.75
  5. Step 5: Solve for x
    x = 17,078.75/107.87
  6. Step 6: Final answer
    x = 158.33

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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.