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Finding the Fourth Proportional to 67.28, 100.78 and 34.72

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Solution

The fourth proportional to 67.28, 100.78 and 34.72 is: 52.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.28 : 100.78 = 34.72 : x
  2. Step 2: Convert to fraction form
    67.28/100.78 = 34.72/x
  3. Step 3: Cross multiply
    67.28x = 100.78 × 34.72
  4. Step 4: Simplify right side
    67.28x = 3,498.74
  5. Step 5: Solve for x
    x = 3,498.74/67.28
  6. Step 6: Final answer
    x = 52.01

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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.