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Finding the Fourth Proportional to 122.24, 182.84 and 96.26

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Solution

The fourth proportional to 122.24, 182.84 and 96.26 is: 143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.24 : 182.84 = 96.26 : x
  2. Step 2: Convert to fraction form
    122.24/182.84 = 96.26/x
  3. Step 3: Cross multiply
    122.24x = 182.84 × 96.26
  4. Step 4: Simplify right side
    122.24x = 17,600.18
  5. Step 5: Solve for x
    x = 17,600.18/122.24
  6. Step 6: Final answer
    x = 143.98

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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.