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Finding the Fourth Proportional to 112.05, 167.87 and 97.65

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Solution

The fourth proportional to 112.05, 167.87 and 97.65 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.05 : 167.87 = 97.65 : x
  2. Step 2: Convert to fraction form
    112.05/167.87 = 97.65/x
  3. Step 3: Cross multiply
    112.05x = 167.87 × 97.65
  4. Step 4: Simplify right side
    112.05x = 16,392.75
  5. Step 5: Solve for x
    x = 16,392.75/112.05
  6. Step 6: Final answer
    x = 146.30

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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.