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Finding the Fourth Proportional to 123.93, 185.91 and 51.83

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Solution

The fourth proportional to 123.93, 185.91 and 51.83 is: 77.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 185.91 = 51.83 : x
  2. Step 2: Convert to fraction form
    123.93/185.91 = 51.83/x
  3. Step 3: Cross multiply
    123.93x = 185.91 × 51.83
  4. Step 4: Simplify right side
    123.93x = 9,635.46
  5. Step 5: Solve for x
    x = 9,635.46/123.93
  6. Step 6: Final answer
    x = 77.75

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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.