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Finding the Fourth Proportional to 138.54, 191.07 and 116.76

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Solution

The fourth proportional to 138.54, 191.07 and 116.76 is: 161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 191.07 = 116.76 : x
  2. Step 2: Convert to fraction form
    138.54/191.07 = 116.76/x
  3. Step 3: Cross multiply
    138.54x = 191.07 × 116.76
  4. Step 4: Simplify right side
    138.54x = 22,309.33
  5. Step 5: Solve for x
    x = 22,309.33/138.54
  6. Step 6: Final answer
    x = 161.03

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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.