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Finding the Fourth Proportional to 123.66, 185.21 and 65.78

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Solution

The fourth proportional to 123.66, 185.21 and 65.78 is: 98.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 185.21 = 65.78 : x
  2. Step 2: Convert to fraction form
    123.66/185.21 = 65.78/x
  3. Step 3: Cross multiply
    123.66x = 185.21 × 65.78
  4. Step 4: Simplify right side
    123.66x = 12,183.38
  5. Step 5: Solve for x
    x = 12,183.38/123.66
  6. Step 6: Final answer
    x = 98.52

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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.