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Finding the Fourth Proportional to 122.76, 183.72 and 112.77

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Solution

The fourth proportional to 122.76, 183.72 and 112.77 is: 168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.76 : 183.72 = 112.77 : x
  2. Step 2: Convert to fraction form
    122.76/183.72 = 112.77/x
  3. Step 3: Cross multiply
    122.76x = 183.72 × 112.77
  4. Step 4: Simplify right side
    122.76x = 20,718.10
  5. Step 5: Solve for x
    x = 20,718.10/122.76
  6. Step 6: Final answer
    x = 168.77

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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.