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Finding the Fourth Proportional to 122.59, 183.21 and 112.86

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Solution

The fourth proportional to 122.59, 183.21 and 112.86 is: 168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.59 : 183.21 = 112.86 : x
  2. Step 2: Convert to fraction form
    122.59/183.21 = 112.86/x
  3. Step 3: Cross multiply
    122.59x = 183.21 × 112.86
  4. Step 4: Simplify right side
    122.59x = 20,676.16
  5. Step 5: Solve for x
    x = 20,676.16/122.59
  6. Step 6: Final answer
    x = 168.67

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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.