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Finding the Fourth Proportional to 122.70, 182.83 and 118.05

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Solution

The fourth proportional to 122.70, 182.83 and 118.05 is: 175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.70 : 182.83 = 118.05 : x
  2. Step 2: Convert to fraction form
    122.70/182.83 = 118.05/x
  3. Step 3: Cross multiply
    122.70x = 182.83 × 118.05
  4. Step 4: Simplify right side
    122.70x = 21,583.08
  5. Step 5: Solve for x
    x = 21,583.08/122.70
  6. Step 6: Final answer
    x = 175.90

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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.