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Finding the Fourth Proportional to 123.51, 185.12 and 54.97

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Solution

The fourth proportional to 123.51, 185.12 and 54.97 is: 82.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 185.12 = 54.97 : x
  2. Step 2: Convert to fraction form
    123.51/185.12 = 54.97/x
  3. Step 3: Cross multiply
    123.51x = 185.12 × 54.97
  4. Step 4: Simplify right side
    123.51x = 10,176.05
  5. Step 5: Solve for x
    x = 10,176.05/123.51
  6. Step 6: Final answer
    x = 82.39

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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.