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Finding the Fourth Proportional to 123.10, 169.85 and 81.67

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Solution

The fourth proportional to 123.10, 169.85 and 81.67 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 169.85 = 81.67 : x
  2. Step 2: Convert to fraction form
    123.10/169.85 = 81.67/x
  3. Step 3: Cross multiply
    123.10x = 169.85 × 81.67
  4. Step 4: Simplify right side
    123.10x = 13,870.80
  5. Step 5: Solve for x
    x = 13,870.80/123.10
  6. Step 6: Final answer
    x = 112.68

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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.