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Finding the Fourth Proportional to 138.60, 191.01 and 120.99

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Solution

The fourth proportional to 138.60, 191.01 and 120.99 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 191.01 = 120.99 : x
  2. Step 2: Convert to fraction form
    138.60/191.01 = 120.99/x
  3. Step 3: Cross multiply
    138.60x = 191.01 × 120.99
  4. Step 4: Simplify right side
    138.60x = 23,110.30
  5. Step 5: Solve for x
    x = 23,110.30/138.60
  6. Step 6: Final answer
    x = 166.74

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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.