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Finding the Fourth Proportional to 67.41, 100.90 and 52.14

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Solution

The fourth proportional to 67.41, 100.90 and 52.14 is: 78.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.41 : 100.90 = 52.14 : x
  2. Step 2: Convert to fraction form
    67.41/100.90 = 52.14/x
  3. Step 3: Cross multiply
    67.41x = 100.90 × 52.14
  4. Step 4: Simplify right side
    67.41x = 5,260.93
  5. Step 5: Solve for x
    x = 5,260.93/67.41
  6. Step 6: Final answer
    x = 78.04

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Why These Related Problems?

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