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Finding the Fourth Proportional to 79.58, 110.41 and 76.70

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Solution

The fourth proportional to 79.58, 110.41 and 76.70 is: 106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.58 : 110.41 = 76.70 : x
  2. Step 2: Convert to fraction form
    79.58/110.41 = 76.70/x
  3. Step 3: Cross multiply
    79.58x = 110.41 × 76.70
  4. Step 4: Simplify right side
    79.58x = 8,468.06
  5. Step 5: Solve for x
    x = 8,468.06/79.58
  6. Step 6: Final answer
    x = 106.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.