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Finding the Fourth Proportional to 123.25, 169.68 and 110.97

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Solution

The fourth proportional to 123.25, 169.68 and 110.97 is: 152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.25 : 169.68 = 110.97 : x
  2. Step 2: Convert to fraction form
    123.25/169.68 = 110.97/x
  3. Step 3: Cross multiply
    123.25x = 169.68 × 110.97
  4. Step 4: Simplify right side
    123.25x = 18,829.39
  5. Step 5: Solve for x
    x = 18,829.39/123.25
  6. Step 6: Final answer
    x = 152.77

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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.