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Finding the Fourth Proportional to 67.36, 100.86 and 52.57

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Solution

The fourth proportional to 67.36, 100.86 and 52.57 is: 78.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.36 : 100.86 = 52.57 : x
  2. Step 2: Convert to fraction form
    67.36/100.86 = 52.57/x
  3. Step 3: Cross multiply
    67.36x = 100.86 × 52.57
  4. Step 4: Simplify right side
    67.36x = 5,302.21
  5. Step 5: Solve for x
    x = 5,302.21/67.36
  6. Step 6: Final answer
    x = 78.71

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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.