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Finding the Fourth Proportional to 82.91, 113.71 and 80.30

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Solution

The fourth proportional to 82.91, 113.71 and 80.30 is: 110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.91 : 113.71 = 80.30 : x
  2. Step 2: Convert to fraction form
    82.91/113.71 = 80.30/x
  3. Step 3: Cross multiply
    82.91x = 113.71 × 80.30
  4. Step 4: Simplify right side
    82.91x = 9,130.91
  5. Step 5: Solve for x
    x = 9,130.91/82.91
  6. Step 6: Final answer
    x = 110.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.