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Finding the Fourth Proportional to 78.90, 108.02 and 78.09

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Solution

The fourth proportional to 78.90, 108.02 and 78.09 is: 106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.90 : 108.02 = 78.09 : x
  2. Step 2: Convert to fraction form
    78.90/108.02 = 78.09/x
  3. Step 3: Cross multiply
    78.90x = 108.02 × 78.09
  4. Step 4: Simplify right side
    78.90x = 8,435.28
  5. Step 5: Solve for x
    x = 8,435.28/78.90
  6. Step 6: Final answer
    x = 106.91

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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.