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Finding the Fourth Proportional to 122.63, 183.96 and 102.48

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Solution

The fourth proportional to 122.63, 183.96 and 102.48 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 183.96 = 102.48 : x
  2. Step 2: Convert to fraction form
    122.63/183.96 = 102.48/x
  3. Step 3: Cross multiply
    122.63x = 183.96 × 102.48
  4. Step 4: Simplify right side
    122.63x = 18,852.22
  5. Step 5: Solve for x
    x = 18,852.22/122.63
  6. Step 6: Final answer
    x = 153.74

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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.