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Finding the Fourth Proportional to 78.93, 108.20 and 77.67

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Solution

The fourth proportional to 78.93, 108.20 and 77.67 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.93 : 108.20 = 77.67 : x
  2. Step 2: Convert to fraction form
    78.93/108.20 = 77.67/x
  3. Step 3: Cross multiply
    78.93x = 108.20 × 77.67
  4. Step 4: Simplify right side
    78.93x = 8,404.09
  5. Step 5: Solve for x
    x = 8,404.09/78.93
  6. Step 6: Final answer
    x = 106.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.