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Finding the Fourth Proportional to 138.05, 207.06 and 55.81

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Solution

The fourth proportional to 138.05, 207.06 and 55.81 is: 83.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.05 : 207.06 = 55.81 : x
  2. Step 2: Convert to fraction form
    138.05/207.06 = 55.81/x
  3. Step 3: Cross multiply
    138.05x = 207.06 × 55.81
  4. Step 4: Simplify right side
    138.05x = 11,556.02
  5. Step 5: Solve for x
    x = 11,556.02/138.05
  6. Step 6: Final answer
    x = 83.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.