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Finding the Fourth Proportional to 126.06, 173.75 and 82.32

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Solution

The fourth proportional to 126.06, 173.75 and 82.32 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.06 : 173.75 = 82.32 : x
  2. Step 2: Convert to fraction form
    126.06/173.75 = 82.32/x
  3. Step 3: Cross multiply
    126.06x = 173.75 × 82.32
  4. Step 4: Simplify right side
    126.06x = 14,302.04
  5. Step 5: Solve for x
    x = 14,302.04/126.06
  6. Step 6: Final answer
    x = 113.46

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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.