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Finding the Fourth Proportional to 160.95, 222.06 and 105.68

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Solution

The fourth proportional to 160.95, 222.06 and 105.68 is: 145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.95 : 222.06 = 105.68 : x
  2. Step 2: Convert to fraction form
    160.95/222.06 = 105.68/x
  3. Step 3: Cross multiply
    160.95x = 222.06 × 105.68
  4. Step 4: Simplify right side
    160.95x = 23,467.30
  5. Step 5: Solve for x
    x = 23,467.30/160.95
  6. Step 6: Final answer
    x = 145.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.