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Finding the Fourth Proportional to 123.52, 185.23 and 36.84

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Solution

The fourth proportional to 123.52, 185.23 and 36.84 is: 55.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.52 : 185.23 = 36.84 : x
  2. Step 2: Convert to fraction form
    123.52/185.23 = 36.84/x
  3. Step 3: Cross multiply
    123.52x = 185.23 × 36.84
  4. Step 4: Simplify right side
    123.52x = 6,823.87
  5. Step 5: Solve for x
    x = 6,823.87/123.52
  6. Step 6: Final answer
    x = 55.25

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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.