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Finding the Fourth Proportional to 138.78, 208.01 and 77.82

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Solution

The fourth proportional to 138.78, 208.01 and 77.82 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.78 : 208.01 = 77.82 : x
  2. Step 2: Convert to fraction form
    138.78/208.01 = 77.82/x
  3. Step 3: Cross multiply
    138.78x = 208.01 × 77.82
  4. Step 4: Simplify right side
    138.78x = 16,187.34
  5. Step 5: Solve for x
    x = 16,187.34/138.78
  6. Step 6: Final answer
    x = 116.64

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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.