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Finding the Fourth Proportional to 106.35, 160.11 and 79.47

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Solution

The fourth proportional to 106.35, 160.11 and 79.47 is: 119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.35 : 160.11 = 79.47 : x
  2. Step 2: Convert to fraction form
    106.35/160.11 = 79.47/x
  3. Step 3: Cross multiply
    106.35x = 160.11 × 79.47
  4. Step 4: Simplify right side
    106.35x = 12,723.94
  5. Step 5: Solve for x
    x = 12,723.94/106.35
  6. Step 6: Final answer
    x = 119.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.