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Finding the Fourth Proportional to 82, 113.04 and 71.68

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Solution

The fourth proportional to 82, 113.04 and 71.68 is: 98.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 113.04 = 71.68 : x
  2. Step 2: Convert to fraction form
    82/113.04 = 71.68/x
  3. Step 3: Cross multiply
    82x = 113.04 × 71.68
  4. Step 4: Simplify right side
    82x = 8,102.71
  5. Step 5: Solve for x
    x = 8,102.71/82
  6. Step 6: Final answer
    x = 98.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.