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Finding the Fourth Proportional to 82.29, 123.92 and 67.98

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Solution

The fourth proportional to 82.29, 123.92 and 67.98 is: 102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.29 : 123.92 = 67.98 : x
  2. Step 2: Convert to fraction form
    82.29/123.92 = 67.98/x
  3. Step 3: Cross multiply
    82.29x = 123.92 × 67.98
  4. Step 4: Simplify right side
    82.29x = 8,423.74
  5. Step 5: Solve for x
    x = 8,423.74/82.29
  6. Step 6: Final answer
    x = 102.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.