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Finding the Fourth Proportional to 84.23, 126.53 and 81.96

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Solution

The fourth proportional to 84.23, 126.53 and 81.96 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.23 : 126.53 = 81.96 : x
  2. Step 2: Convert to fraction form
    84.23/126.53 = 81.96/x
  3. Step 3: Cross multiply
    84.23x = 126.53 × 81.96
  4. Step 4: Simplify right side
    84.23x = 10,370.40
  5. Step 5: Solve for x
    x = 10,370.40/84.23
  6. Step 6: Final answer
    x = 123.12

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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.