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Finding the Fourth Proportional to 96.95, 144.79 and 84.15

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Solution

The fourth proportional to 96.95, 144.79 and 84.15 is: 125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.95 : 144.79 = 84.15 : x
  2. Step 2: Convert to fraction form
    96.95/144.79 = 84.15/x
  3. Step 3: Cross multiply
    96.95x = 144.79 × 84.15
  4. Step 4: Simplify right side
    96.95x = 12,183.87
  5. Step 5: Solve for x
    x = 12,183.87/96.95
  6. Step 6: Final answer
    x = 125.67

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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.