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Finding the Fourth Proportional to 122.58, 183.44 and 100.65

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Solution

The fourth proportional to 122.58, 183.44 and 100.65 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.58 : 183.44 = 100.65 : x
  2. Step 2: Convert to fraction form
    122.58/183.44 = 100.65/x
  3. Step 3: Cross multiply
    122.58x = 183.44 × 100.65
  4. Step 4: Simplify right side
    122.58x = 18,461.82
  5. Step 5: Solve for x
    x = 18,461.82/122.58
  6. Step 6: Final answer
    x = 150.62

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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.