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Finding the Fourth Proportional to 126.43, 174.54 and 76.65

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Solution

The fourth proportional to 126.43, 174.54 and 76.65 is: 105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.43 : 174.54 = 76.65 : x
  2. Step 2: Convert to fraction form
    126.43/174.54 = 76.65/x
  3. Step 3: Cross multiply
    126.43x = 174.54 × 76.65
  4. Step 4: Simplify right side
    126.43x = 13,378.12
  5. Step 5: Solve for x
    x = 13,378.12/126.43
  6. Step 6: Final answer
    x = 105.81

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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.