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Finding the Fourth Proportional to 122.12, 182.34 and 105.02

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Solution

The fourth proportional to 122.12, 182.34 and 105.02 is: 156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.12 : 182.34 = 105.02 : x
  2. Step 2: Convert to fraction form
    122.12/182.34 = 105.02/x
  3. Step 3: Cross multiply
    122.12x = 182.34 × 105.02
  4. Step 4: Simplify right side
    122.12x = 19,149.35
  5. Step 5: Solve for x
    x = 19,149.35/122.12
  6. Step 6: Final answer
    x = 156.81

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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.