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Finding the Fourth Proportional to 126.86, 174.94 and 102.28

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Solution

The fourth proportional to 126.86, 174.94 and 102.28 is: 141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 174.94 = 102.28 : x
  2. Step 2: Convert to fraction form
    126.86/174.94 = 102.28/x
  3. Step 3: Cross multiply
    126.86x = 174.94 × 102.28
  4. Step 4: Simplify right side
    126.86x = 17,892.86
  5. Step 5: Solve for x
    x = 17,892.86/126.86
  6. Step 6: Final answer
    x = 141.04

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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.