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Finding the Fourth Proportional to 138.09, 190.47 and 96.66

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Solution

The fourth proportional to 138.09, 190.47 and 96.66 is: 133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.09 : 190.47 = 96.66 : x
  2. Step 2: Convert to fraction form
    138.09/190.47 = 96.66/x
  3. Step 3: Cross multiply
    138.09x = 190.47 × 96.66
  4. Step 4: Simplify right side
    138.09x = 18,410.83
  5. Step 5: Solve for x
    x = 18,410.83/138.09
  6. Step 6: Final answer
    x = 133.32

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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.