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Finding the Fourth Proportional to 84.70, 116.03 and 77.41

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Solution

The fourth proportional to 84.70, 116.03 and 77.41 is: 106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.70 : 116.03 = 77.41 : x
  2. Step 2: Convert to fraction form
    84.70/116.03 = 77.41/x
  3. Step 3: Cross multiply
    84.70x = 116.03 × 77.41
  4. Step 4: Simplify right side
    84.70x = 8,981.88
  5. Step 5: Solve for x
    x = 8,981.88/84.70
  6. Step 6: Final answer
    x = 106.04

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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.