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Finding the Fourth Proportional to 123.38, 185.02 and 46.41

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Solution

The fourth proportional to 123.38, 185.02 and 46.41 is: 69.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.38 : 185.02 = 46.41 : x
  2. Step 2: Convert to fraction form
    123.38/185.02 = 46.41/x
  3. Step 3: Cross multiply
    123.38x = 185.02 × 46.41
  4. Step 4: Simplify right side
    123.38x = 8,586.78
  5. Step 5: Solve for x
    x = 8,586.78/123.38
  6. Step 6: Final answer
    x = 69.60

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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.