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Finding the Fourth Proportional to 84.05, 125.57 and 82.42

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Solution

The fourth proportional to 84.05, 125.57 and 82.42 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.05 : 125.57 = 82.42 : x
  2. Step 2: Convert to fraction form
    84.05/125.57 = 82.42/x
  3. Step 3: Cross multiply
    84.05x = 125.57 × 82.42
  4. Step 4: Simplify right side
    84.05x = 10,349.74
  5. Step 5: Solve for x
    x = 10,349.74/84.05
  6. Step 6: Final answer
    x = 123.14

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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.