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Finding the Fourth Proportional to 67, 100.53 and 29.97

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Solution

The fourth proportional to 67, 100.53 and 29.97 is: 44.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 100.53 = 29.97 : x
  2. Step 2: Convert to fraction form
    67/100.53 = 29.97/x
  3. Step 3: Cross multiply
    67x = 100.53 × 29.97
  4. Step 4: Simplify right side
    67x = 3,012.88
  5. Step 5: Solve for x
    x = 3,012.88/67
  6. Step 6: Final answer
    x = 44.97

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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.