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Finding the Fourth Proportional to 79.01, 108.21 and 78.20

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Solution

The fourth proportional to 79.01, 108.21 and 78.20 is: 107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.01 : 108.21 = 78.20 : x
  2. Step 2: Convert to fraction form
    79.01/108.21 = 78.20/x
  3. Step 3: Cross multiply
    79.01x = 108.21 × 78.20
  4. Step 4: Simplify right side
    79.01x = 8,461.48
  5. Step 5: Solve for x
    x = 8,461.48/79.01
  6. Step 6: Final answer
    x = 107.10

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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.