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Finding the Fourth Proportional to 123.44, 184.96 and 102.94

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Solution

The fourth proportional to 123.44, 184.96 and 102.94 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.44 : 184.96 = 102.94 : x
  2. Step 2: Convert to fraction form
    123.44/184.96 = 102.94/x
  3. Step 3: Cross multiply
    123.44x = 184.96 × 102.94
  4. Step 4: Simplify right side
    123.44x = 19,039.06
  5. Step 5: Solve for x
    x = 19,039.06/123.44
  6. Step 6: Final answer
    x = 154.23

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Why These Related Problems?

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