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Finding the Fourth Proportional to 126.80, 175.07 and 102.35

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Solution

The fourth proportional to 126.80, 175.07 and 102.35 is: 141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.80 : 175.07 = 102.35 : x
  2. Step 2: Convert to fraction form
    126.80/175.07 = 102.35/x
  3. Step 3: Cross multiply
    126.80x = 175.07 × 102.35
  4. Step 4: Simplify right side
    126.80x = 17,917.90
  5. Step 5: Solve for x
    x = 17,917.90/126.80
  6. Step 6: Final answer
    x = 141.31

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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.