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Finding the Fourth Proportional to 101.67, 152.24 and 67.38

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Solution

The fourth proportional to 101.67, 152.24 and 67.38 is: 100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.67 : 152.24 = 67.38 : x
  2. Step 2: Convert to fraction form
    101.67/152.24 = 67.38/x
  3. Step 3: Cross multiply
    101.67x = 152.24 × 67.38
  4. Step 4: Simplify right side
    101.67x = 10,257.59
  5. Step 5: Solve for x
    x = 10,257.59/101.67
  6. Step 6: Final answer
    x = 100.89

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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.