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Finding the Fourth Proportional to 126.72, 174.77 and 105.96

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Solution

The fourth proportional to 126.72, 174.77 and 105.96 is: 146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.72 : 174.77 = 105.96 : x
  2. Step 2: Convert to fraction form
    126.72/174.77 = 105.96/x
  3. Step 3: Cross multiply
    126.72x = 174.77 × 105.96
  4. Step 4: Simplify right side
    126.72x = 18,518.10
  5. Step 5: Solve for x
    x = 18,518.10/126.72
  6. Step 6: Final answer
    x = 146.13

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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.