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Finding the Fourth Proportional to 106.82, 160.05 and 72.59

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Solution

The fourth proportional to 106.82, 160.05 and 72.59 is: 108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.82 : 160.05 = 72.59 : x
  2. Step 2: Convert to fraction form
    106.82/160.05 = 72.59/x
  3. Step 3: Cross multiply
    106.82x = 160.05 × 72.59
  4. Step 4: Simplify right side
    106.82x = 11,618.03
  5. Step 5: Solve for x
    x = 11,618.03/106.82
  6. Step 6: Final answer
    x = 108.76

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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.