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Finding the Fourth Proportional to 123.09, 169.86 and 83.67

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Solution

The fourth proportional to 123.09, 169.86 and 83.67 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.09 : 169.86 = 83.67 : x
  2. Step 2: Convert to fraction form
    123.09/169.86 = 83.67/x
  3. Step 3: Cross multiply
    123.09x = 169.86 × 83.67
  4. Step 4: Simplify right side
    123.09x = 14,212.19
  5. Step 5: Solve for x
    x = 14,212.19/123.09
  6. Step 6: Final answer
    x = 115.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.