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Finding the Fourth Proportional to 96.37, 143.83 and 84.15

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Solution

The fourth proportional to 96.37, 143.83 and 84.15 is: 125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.37 : 143.83 = 84.15 : x
  2. Step 2: Convert to fraction form
    96.37/143.83 = 84.15/x
  3. Step 3: Cross multiply
    96.37x = 143.83 × 84.15
  4. Step 4: Simplify right side
    96.37x = 12,102.15
  5. Step 5: Solve for x
    x = 12,102.15/96.37
  6. Step 6: Final answer
    x = 125.59

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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.