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Finding the Fourth Proportional to 126.77, 191.09 and 116.84

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Solution

The fourth proportional to 126.77, 191.09 and 116.84 is: 176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.77 : 191.09 = 116.84 : x
  2. Step 2: Convert to fraction form
    126.77/191.09 = 116.84/x
  3. Step 3: Cross multiply
    126.77x = 191.09 × 116.84
  4. Step 4: Simplify right side
    126.77x = 22,327.73
  5. Step 5: Solve for x
    x = 22,327.73/126.77
  6. Step 6: Final answer
    x = 176.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.