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Finding the Fourth Proportional to 123.59, 185.23 and 83.09

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Solution

The fourth proportional to 123.59, 185.23 and 83.09 is: 124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.59 : 185.23 = 83.09 : x
  2. Step 2: Convert to fraction form
    123.59/185.23 = 83.09/x
  3. Step 3: Cross multiply
    123.59x = 185.23 × 83.09
  4. Step 4: Simplify right side
    123.59x = 15,389.63
  5. Step 5: Solve for x
    x = 15,389.63/123.59
  6. Step 6: Final answer
    x = 124.53

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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.