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Finding the Fourth Proportional to 67.30, 100.96 and 26.74

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Solution

The fourth proportional to 67.30, 100.96 and 26.74 is: 40.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.30 : 100.96 = 26.74 : x
  2. Step 2: Convert to fraction form
    67.30/100.96 = 26.74/x
  3. Step 3: Cross multiply
    67.30x = 100.96 × 26.74
  4. Step 4: Simplify right side
    67.30x = 2,699.35
  5. Step 5: Solve for x
    x = 2,699.35/67.30
  6. Step 6: Final answer
    x = 40.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.