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Finding the Fourth Proportional to 67.91, 102.23 and 52.79

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Solution

The fourth proportional to 67.91, 102.23 and 52.79 is: 79.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.91 : 102.23 = 52.79 : x
  2. Step 2: Convert to fraction form
    67.91/102.23 = 52.79/x
  3. Step 3: Cross multiply
    67.91x = 102.23 × 52.79
  4. Step 4: Simplify right side
    67.91x = 5,396.72
  5. Step 5: Solve for x
    x = 5,396.72/67.91
  6. Step 6: Final answer
    x = 79.47

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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.