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Finding the Fourth Proportional to 84.04, 125.25 and 80.19

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Solution

The fourth proportional to 84.04, 125.25 and 80.19 is: 119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 125.25 = 80.19 : x
  2. Step 2: Convert to fraction form
    84.04/125.25 = 80.19/x
  3. Step 3: Cross multiply
    84.04x = 125.25 × 80.19
  4. Step 4: Simplify right side
    84.04x = 10,043.50
  5. Step 5: Solve for x
    x = 10,043.50/84.04
  6. Step 6: Final answer
    x = 119.51

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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.