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Finding the Fourth Proportional to 122.87, 183.94 and 101.12

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Solution

The fourth proportional to 122.87, 183.94 and 101.12 is: 151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.87 : 183.94 = 101.12 : x
  2. Step 2: Convert to fraction form
    122.87/183.94 = 101.12/x
  3. Step 3: Cross multiply
    122.87x = 183.94 × 101.12
  4. Step 4: Simplify right side
    122.87x = 18,598.84
  5. Step 5: Solve for x
    x = 18,598.84/122.87
  6. Step 6: Final answer
    x = 151.37

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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.