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Finding the Fourth Proportional to 112.70, 168.22 and 97.31

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Solution

The fourth proportional to 112.70, 168.22 and 97.31 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.70 : 168.22 = 97.31 : x
  2. Step 2: Convert to fraction form
    112.70/168.22 = 97.31/x
  3. Step 3: Cross multiply
    112.70x = 168.22 × 97.31
  4. Step 4: Simplify right side
    112.70x = 16,369.49
  5. Step 5: Solve for x
    x = 16,369.49/112.70
  6. Step 6: Final answer
    x = 145.25

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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.