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Finding the Fourth Proportional to 96.37, 144.42 and 82.06

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Solution

The fourth proportional to 96.37, 144.42 and 82.06 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.37 : 144.42 = 82.06 : x
  2. Step 2: Convert to fraction form
    96.37/144.42 = 82.06/x
  3. Step 3: Cross multiply
    96.37x = 144.42 × 82.06
  4. Step 4: Simplify right side
    96.37x = 11,851.11
  5. Step 5: Solve for x
    x = 11,851.11/96.37
  6. Step 6: Final answer
    x = 122.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.