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Finding the Fourth Proportional to 78.06, 107.73 and 75.67

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Solution

The fourth proportional to 78.06, 107.73 and 75.67 is: 104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 107.73 = 75.67 : x
  2. Step 2: Convert to fraction form
    78.06/107.73 = 75.67/x
  3. Step 3: Cross multiply
    78.06x = 107.73 × 75.67
  4. Step 4: Simplify right side
    78.06x = 8,151.20
  5. Step 5: Solve for x
    x = 8,151.20/78.06
  6. Step 6: Final answer
    x = 104.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.