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Finding the Fourth Proportional to 91.70, 125.83 and 83.48

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Solution

The fourth proportional to 91.70, 125.83 and 83.48 is: 114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.70 : 125.83 = 83.48 : x
  2. Step 2: Convert to fraction form
    91.70/125.83 = 83.48/x
  3. Step 3: Cross multiply
    91.70x = 125.83 × 83.48
  4. Step 4: Simplify right side
    91.70x = 10,504.29
  5. Step 5: Solve for x
    x = 10,504.29/91.70
  6. Step 6: Final answer
    x = 114.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.