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Finding the Fourth Proportional to 78.67, 108.14 and 67.43

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Solution

The fourth proportional to 78.67, 108.14 and 67.43 is: 92.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.67 : 108.14 = 67.43 : x
  2. Step 2: Convert to fraction form
    78.67/108.14 = 67.43/x
  3. Step 3: Cross multiply
    78.67x = 108.14 × 67.43
  4. Step 4: Simplify right side
    78.67x = 7,291.81
  5. Step 5: Solve for x
    x = 7,291.81/78.67
  6. Step 6: Final answer
    x = 92.69

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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.