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Finding the Fourth Proportional to 123, 169.74 and 77

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Solution

The fourth proportional to 123, 169.74 and 77 is: 106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 169.74 = 77 : x
  2. Step 2: Convert to fraction form
    123/169.74 = 77/x
  3. Step 3: Cross multiply
    123x = 169.74 × 77
  4. Step 4: Simplify right side
    123x = 13,069.98
  5. Step 5: Solve for x
    x = 13,069.98/123
  6. Step 6: Final answer
    x = 106.26

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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.