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Finding the Fourth Proportional to 126.69, 174.75 and 105.96

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Solution

The fourth proportional to 126.69, 174.75 and 105.96 is: 146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.69 : 174.75 = 105.96 : x
  2. Step 2: Convert to fraction form
    126.69/174.75 = 105.96/x
  3. Step 3: Cross multiply
    126.69x = 174.75 × 105.96
  4. Step 4: Simplify right side
    126.69x = 18,516.51
  5. Step 5: Solve for x
    x = 18,516.51/126.69
  6. Step 6: Final answer
    x = 146.16

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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.