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Finding the Fourth Proportional to 67.50, 100.95 and 53.82

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Solution

The fourth proportional to 67.50, 100.95 and 53.82 is: 80.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 100.95 = 53.82 : x
  2. Step 2: Convert to fraction form
    67.50/100.95 = 53.82/x
  3. Step 3: Cross multiply
    67.50x = 100.95 × 53.82
  4. Step 4: Simplify right side
    67.50x = 5,433.13
  5. Step 5: Solve for x
    x = 5,433.13/67.50
  6. Step 6: Final answer
    x = 80.49

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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.