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Finding the Fourth Proportional to 100.16, 137.97 and 79.43

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Solution

The fourth proportional to 100.16, 137.97 and 79.43 is: 109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.16 : 137.97 = 79.43 : x
  2. Step 2: Convert to fraction form
    100.16/137.97 = 79.43/x
  3. Step 3: Cross multiply
    100.16x = 137.97 × 79.43
  4. Step 4: Simplify right side
    100.16x = 10,958.27
  5. Step 5: Solve for x
    x = 10,958.27/100.16
  6. Step 6: Final answer
    x = 109.41

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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.