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Finding the Fourth Proportional to 138.64, 191.37 and 116.92

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Solution

The fourth proportional to 138.64, 191.37 and 116.92 is: 161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.64 : 191.37 = 116.92 : x
  2. Step 2: Convert to fraction form
    138.64/191.37 = 116.92/x
  3. Step 3: Cross multiply
    138.64x = 191.37 × 116.92
  4. Step 4: Simplify right side
    138.64x = 22,374.98
  5. Step 5: Solve for x
    x = 22,374.98/138.64
  6. Step 6: Final answer
    x = 161.39

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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.