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Finding the Fourth Proportional to 126.07, 174.77 and 123.56

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Solution

The fourth proportional to 126.07, 174.77 and 123.56 is: 171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.07 : 174.77 = 123.56 : x
  2. Step 2: Convert to fraction form
    126.07/174.77 = 123.56/x
  3. Step 3: Cross multiply
    126.07x = 174.77 × 123.56
  4. Step 4: Simplify right side
    126.07x = 21,594.21
  5. Step 5: Solve for x
    x = 21,594.21/126.07
  6. Step 6: Final answer
    x = 171.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.