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Finding the Fourth Proportional to 122.09, 182.92 and 83.45

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Solution

The fourth proportional to 122.09, 182.92 and 83.45 is: 125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 182.92 = 83.45 : x
  2. Step 2: Convert to fraction form
    122.09/182.92 = 83.45/x
  3. Step 3: Cross multiply
    122.09x = 182.92 × 83.45
  4. Step 4: Simplify right side
    122.09x = 15,263.55
  5. Step 5: Solve for x
    x = 15,263.55/122.09
  6. Step 6: Final answer
    x = 125.02

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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.