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Finding the Fourth Proportional to 84.88, 126.62 and 82.96

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Solution

The fourth proportional to 84.88, 126.62 and 82.96 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.88 : 126.62 = 82.96 : x
  2. Step 2: Convert to fraction form
    84.88/126.62 = 82.96/x
  3. Step 3: Cross multiply
    84.88x = 126.62 × 82.96
  4. Step 4: Simplify right side
    84.88x = 10,504.40
  5. Step 5: Solve for x
    x = 10,504.40/84.88
  6. Step 6: Final answer
    x = 123.76

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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.