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Finding the Fourth Proportional to 112.36, 168.01 and 100.24

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Solution

The fourth proportional to 112.36, 168.01 and 100.24 is: 149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.36 : 168.01 = 100.24 : x
  2. Step 2: Convert to fraction form
    112.36/168.01 = 100.24/x
  3. Step 3: Cross multiply
    112.36x = 168.01 × 100.24
  4. Step 4: Simplify right side
    112.36x = 16,840.65
  5. Step 5: Solve for x
    x = 16,840.65/112.36
  6. Step 6: Final answer
    x = 149.88

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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.