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Finding the Fourth Proportional to 84.20, 126.20 and 73.06

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Solution

The fourth proportional to 84.20, 126.20 and 73.06 is: 109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.20 : 126.20 = 73.06 : x
  2. Step 2: Convert to fraction form
    84.20/126.20 = 73.06/x
  3. Step 3: Cross multiply
    84.20x = 126.20 × 73.06
  4. Step 4: Simplify right side
    84.20x = 9,220.17
  5. Step 5: Solve for x
    x = 9,220.17/84.20
  6. Step 6: Final answer
    x = 109.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.