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Finding the Fourth Proportional to 67.74, 101.49 and 33.53

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Solution

The fourth proportional to 67.74, 101.49 and 33.53 is: 50.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.74 : 101.49 = 33.53 : x
  2. Step 2: Convert to fraction form
    67.74/101.49 = 33.53/x
  3. Step 3: Cross multiply
    67.74x = 101.49 × 33.53
  4. Step 4: Simplify right side
    67.74x = 3,402.45
  5. Step 5: Solve for x
    x = 3,402.45/67.74
  6. Step 6: Final answer
    x = 50.23

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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.