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Finding the Fourth Proportional to 123.67, 184.62 and 106.26

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Solution

The fourth proportional to 123.67, 184.62 and 106.26 is: 158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.67 : 184.62 = 106.26 : x
  2. Step 2: Convert to fraction form
    123.67/184.62 = 106.26/x
  3. Step 3: Cross multiply
    123.67x = 184.62 × 106.26
  4. Step 4: Simplify right side
    123.67x = 19,617.43
  5. Step 5: Solve for x
    x = 19,617.43/123.67
  6. Step 6: Final answer
    x = 158.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.