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Finding the Fourth Proportional to 122.30, 183.35 and 105.38

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Solution

The fourth proportional to 122.30, 183.35 and 105.38 is: 157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.30 : 183.35 = 105.38 : x
  2. Step 2: Convert to fraction form
    122.30/183.35 = 105.38/x
  3. Step 3: Cross multiply
    122.30x = 183.35 × 105.38
  4. Step 4: Simplify right side
    122.30x = 19,320.77
  5. Step 5: Solve for x
    x = 19,320.77/122.30
  6. Step 6: Final answer
    x = 157.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.