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Finding the Fourth Proportional to 84.13, 125.33 and 80.63

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Solution

The fourth proportional to 84.13, 125.33 and 80.63 is: 120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.13 : 125.33 = 80.63 : x
  2. Step 2: Convert to fraction form
    84.13/125.33 = 80.63/x
  3. Step 3: Cross multiply
    84.13x = 125.33 × 80.63
  4. Step 4: Simplify right side
    84.13x = 10,105.36
  5. Step 5: Solve for x
    x = 10,105.36/84.13
  6. Step 6: Final answer
    x = 120.12

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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.