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Finding the Fourth Proportional to 100.32, 150.22 and 79.97

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Solution

The fourth proportional to 100.32, 150.22 and 79.97 is: 119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.32 : 150.22 = 79.97 : x
  2. Step 2: Convert to fraction form
    100.32/150.22 = 79.97/x
  3. Step 3: Cross multiply
    100.32x = 150.22 × 79.97
  4. Step 4: Simplify right side
    100.32x = 12,012.44
  5. Step 5: Solve for x
    x = 12,012.44/100.32
  6. Step 6: Final answer
    x = 119.75

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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.