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Finding the Fourth Proportional to 82.85, 114.25 and 57.98

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Solution

The fourth proportional to 82.85, 114.25 and 57.98 is: 79.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.85 : 114.25 = 57.98 : x
  2. Step 2: Convert to fraction form
    82.85/114.25 = 57.98/x
  3. Step 3: Cross multiply
    82.85x = 114.25 × 57.98
  4. Step 4: Simplify right side
    82.85x = 6,624.22
  5. Step 5: Solve for x
    x = 6,624.22/82.85
  6. Step 6: Final answer
    x = 79.95

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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.