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Finding the Fourth Proportional to 138.15, 190.89 and 134.51

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Solution

The fourth proportional to 138.15, 190.89 and 134.51 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.15 : 190.89 = 134.51 : x
  2. Step 2: Convert to fraction form
    138.15/190.89 = 134.51/x
  3. Step 3: Cross multiply
    138.15x = 190.89 × 134.51
  4. Step 4: Simplify right side
    138.15x = 25,675.66
  5. Step 5: Solve for x
    x = 25,675.66/138.15
  6. Step 6: Final answer
    x = 185.85

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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.