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Finding the Fourth Proportional to 126.54, 174.70 and 82.30

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Solution

The fourth proportional to 126.54, 174.70 and 82.30 is: 113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.54 : 174.70 = 82.30 : x
  2. Step 2: Convert to fraction form
    126.54/174.70 = 82.30/x
  3. Step 3: Cross multiply
    126.54x = 174.70 × 82.30
  4. Step 4: Simplify right side
    126.54x = 14,376.94
  5. Step 5: Solve for x
    x = 14,376.94/126.54
  6. Step 6: Final answer
    x = 113.62

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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.