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Finding the Fourth Proportional to 67.50, 101.19 and 31.41

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Solution

The fourth proportional to 67.50, 101.19 and 31.41 is: 47.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 101.19 = 31.41 : x
  2. Step 2: Convert to fraction form
    67.50/101.19 = 31.41/x
  3. Step 3: Cross multiply
    67.50x = 101.19 × 31.41
  4. Step 4: Simplify right side
    67.50x = 3,178.38
  5. Step 5: Solve for x
    x = 3,178.38/67.50
  6. Step 6: Final answer
    x = 47.09

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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.