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Finding the Fourth Proportional to 122.02, 182.90 and 73.27

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Solution

The fourth proportional to 122.02, 182.90 and 73.27 is: 109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 182.90 = 73.27 : x
  2. Step 2: Convert to fraction form
    122.02/182.90 = 73.27/x
  3. Step 3: Cross multiply
    122.02x = 182.90 × 73.27
  4. Step 4: Simplify right side
    122.02x = 13,400.53
  5. Step 5: Solve for x
    x = 13,400.53/122.02
  6. Step 6: Final answer
    x = 109.82

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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.