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Finding the Fourth Proportional to 84.70, 126.33 and 76.06

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Solution

The fourth proportional to 84.70, 126.33 and 76.06 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.70 : 126.33 = 76.06 : x
  2. Step 2: Convert to fraction form
    84.70/126.33 = 76.06/x
  3. Step 3: Cross multiply
    84.70x = 126.33 × 76.06
  4. Step 4: Simplify right side
    84.70x = 9,608.28
  5. Step 5: Solve for x
    x = 9,608.28/84.70
  6. Step 6: Final answer
    x = 113.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.