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Finding the Fourth Proportional to 123.54, 184.83 and 106.44

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Solution

The fourth proportional to 123.54, 184.83 and 106.44 is: 159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.54 : 184.83 = 106.44 : x
  2. Step 2: Convert to fraction form
    123.54/184.83 = 106.44/x
  3. Step 3: Cross multiply
    123.54x = 184.83 × 106.44
  4. Step 4: Simplify right side
    123.54x = 19,673.31
  5. Step 5: Solve for x
    x = 19,673.31/123.54
  6. Step 6: Final answer
    x = 159.25

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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.