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Finding the Fourth Proportional to 106.69, 160 and 33.55

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Solution

The fourth proportional to 106.69, 160 and 33.55 is: 50.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.69 : 160 = 33.55 : x
  2. Step 2: Convert to fraction form
    106.69/160 = 33.55/x
  3. Step 3: Cross multiply
    106.69x = 160 × 33.55
  4. Step 4: Simplify right side
    106.69x = 5,368
  5. Step 5: Solve for x
    x = 5,368/106.69
  6. Step 6: Final answer
    x = 50.31

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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.