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Finding the Fourth Proportional to 94.96, 141.76 and 82.95

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Solution

The fourth proportional to 94.96, 141.76 and 82.95 is: 123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.96 : 141.76 = 82.95 : x
  2. Step 2: Convert to fraction form
    94.96/141.76 = 82.95/x
  3. Step 3: Cross multiply
    94.96x = 141.76 × 82.95
  4. Step 4: Simplify right side
    94.96x = 11,758.99
  5. Step 5: Solve for x
    x = 11,758.99/94.96
  6. Step 6: Final answer
    x = 123.83

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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.