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Finding the Fourth Proportional to 138.54, 207.78 and 77.70

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Solution

The fourth proportional to 138.54, 207.78 and 77.70 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 207.78 = 77.70 : x
  2. Step 2: Convert to fraction form
    138.54/207.78 = 77.70/x
  3. Step 3: Cross multiply
    138.54x = 207.78 × 77.70
  4. Step 4: Simplify right side
    138.54x = 16,144.51
  5. Step 5: Solve for x
    x = 16,144.51/138.54
  6. Step 6: Final answer
    x = 116.53

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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.