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Finding the Fourth Proportional to 112.15, 167.39 and 104

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Solution

The fourth proportional to 112.15, 167.39 and 104 is: 155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.15 : 167.39 = 104 : x
  2. Step 2: Convert to fraction form
    112.15/167.39 = 104/x
  3. Step 3: Cross multiply
    112.15x = 167.39 × 104
  4. Step 4: Simplify right side
    112.15x = 17,408.56
  5. Step 5: Solve for x
    x = 17,408.56/112.15
  6. Step 6: Final answer
    x = 155.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.