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Finding the Fourth Proportional to 82.85, 116.15 and 82.85

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Solution

The fourth proportional to 82.85, 116.15 and 82.85 is: 116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.85 : 116.15 = 82.85 : x
  2. Step 2: Convert to fraction form
    82.85/116.15 = 82.85/x
  3. Step 3: Cross multiply
    82.85x = 116.15 × 82.85
  4. Step 4: Simplify right side
    82.85x = 9,623.03
  5. Step 5: Solve for x
    x = 9,623.03/82.85
  6. Step 6: Final answer
    x = 116.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.