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Finding the Fourth Proportional to 78.30, 107.94 and 75.90

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Solution

The fourth proportional to 78.30, 107.94 and 75.90 is: 104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 107.94 = 75.90 : x
  2. Step 2: Convert to fraction form
    78.30/107.94 = 75.90/x
  3. Step 3: Cross multiply
    78.30x = 107.94 × 75.90
  4. Step 4: Simplify right side
    78.30x = 8,192.65
  5. Step 5: Solve for x
    x = 8,192.65/78.30
  6. Step 6: Final answer
    x = 104.63

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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.