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Finding the Fourth Proportional to 138.68, 191.27 and 120.23

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Solution

The fourth proportional to 138.68, 191.27 and 120.23 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.68 : 191.27 = 120.23 : x
  2. Step 2: Convert to fraction form
    138.68/191.27 = 120.23/x
  3. Step 3: Cross multiply
    138.68x = 191.27 × 120.23
  4. Step 4: Simplify right side
    138.68x = 22,994.83
  5. Step 5: Solve for x
    x = 22,994.83/138.68
  6. Step 6: Final answer
    x = 165.82

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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.