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Finding the Fourth Proportional to 82.85, 112.79 and 82.57

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Solution

The fourth proportional to 82.85, 112.79 and 82.57 is: 112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.85 : 112.79 = 82.57 : x
  2. Step 2: Convert to fraction form
    82.85/112.79 = 82.57/x
  3. Step 3: Cross multiply
    82.85x = 112.79 × 82.57
  4. Step 4: Simplify right side
    82.85x = 9,313.21
  5. Step 5: Solve for x
    x = 9,313.21/82.85
  6. Step 6: Final answer
    x = 112.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.