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Finding the Fourth Proportional to 67.37, 100.80 and 49.23

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Solution

The fourth proportional to 67.37, 100.80 and 49.23 is: 73.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.37 : 100.80 = 49.23 : x
  2. Step 2: Convert to fraction form
    67.37/100.80 = 49.23/x
  3. Step 3: Cross multiply
    67.37x = 100.80 × 49.23
  4. Step 4: Simplify right side
    67.37x = 4,962.38
  5. Step 5: Solve for x
    x = 4,962.38/67.37
  6. Step 6: Final answer
    x = 73.66

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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.