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Finding the Fourth Proportional to 123.69, 169.91 and 100.28

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Solution

The fourth proportional to 123.69, 169.91 and 100.28 is: 137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.69 : 169.91 = 100.28 : x
  2. Step 2: Convert to fraction form
    123.69/169.91 = 100.28/x
  3. Step 3: Cross multiply
    123.69x = 169.91 × 100.28
  4. Step 4: Simplify right side
    123.69x = 17,037.22
  5. Step 5: Solve for x
    x = 17,037.22/123.69
  6. Step 6: Final answer
    x = 137.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.