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Finding the Fourth Proportional to 123.43, 185.22 and 92.95

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Solution

The fourth proportional to 123.43, 185.22 and 92.95 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.43 : 185.22 = 92.95 : x
  2. Step 2: Convert to fraction form
    123.43/185.22 = 92.95/x
  3. Step 3: Cross multiply
    123.43x = 185.22 × 92.95
  4. Step 4: Simplify right side
    123.43x = 17,216.20
  5. Step 5: Solve for x
    x = 17,216.20/123.43
  6. Step 6: Final answer
    x = 139.48

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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.