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Finding the Fourth Proportional to 67.23, 92.72 and 42.68

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Solution

The fourth proportional to 67.23, 92.72 and 42.68 is: 58.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.23 : 92.72 = 42.68 : x
  2. Step 2: Convert to fraction form
    67.23/92.72 = 42.68/x
  3. Step 3: Cross multiply
    67.23x = 92.72 × 42.68
  4. Step 4: Simplify right side
    67.23x = 3,956.99
  5. Step 5: Solve for x
    x = 3,956.99/67.23
  6. Step 6: Final answer
    x = 58.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.