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Finding the Fourth Proportional to 84.63, 126.64 and 73.80

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Solution

The fourth proportional to 84.63, 126.64 and 73.80 is: 110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.63 : 126.64 = 73.80 : x
  2. Step 2: Convert to fraction form
    84.63/126.64 = 73.80/x
  3. Step 3: Cross multiply
    84.63x = 126.64 × 73.80
  4. Step 4: Simplify right side
    84.63x = 9,346.03
  5. Step 5: Solve for x
    x = 9,346.03/84.63
  6. Step 6: Final answer
    x = 110.43

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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.