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Finding the Fourth Proportional to 107.57, 160.68 and 105.54

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Solution

The fourth proportional to 107.57, 160.68 and 105.54 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.57 : 160.68 = 105.54 : x
  2. Step 2: Convert to fraction form
    107.57/160.68 = 105.54/x
  3. Step 3: Cross multiply
    107.57x = 160.68 × 105.54
  4. Step 4: Simplify right side
    107.57x = 16,958.17
  5. Step 5: Solve for x
    x = 16,958.17/107.57
  6. Step 6: Final answer
    x = 157.66

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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.