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Finding the Fourth Proportional to 112.54, 168.90 and 82

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Solution

The fourth proportional to 112.54, 168.90 and 82 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.54 : 168.90 = 82 : x
  2. Step 2: Convert to fraction form
    112.54/168.90 = 82/x
  3. Step 3: Cross multiply
    112.54x = 168.90 × 82
  4. Step 4: Simplify right side
    112.54x = 13,849.80
  5. Step 5: Solve for x
    x = 13,849.80/112.54
  6. Step 6: Final answer
    x = 123.07

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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.