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Finding the Fourth Proportional to 106.96, 160.44 and 85.27

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Solution

The fourth proportional to 106.96, 160.44 and 85.27 is: 127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.96 : 160.44 = 85.27 : x
  2. Step 2: Convert to fraction form
    106.96/160.44 = 85.27/x
  3. Step 3: Cross multiply
    106.96x = 160.44 × 85.27
  4. Step 4: Simplify right side
    106.96x = 13,680.72
  5. Step 5: Solve for x
    x = 13,680.72/106.96
  6. Step 6: Final answer
    x = 127.91

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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.