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Finding the Fourth Proportional to 40.13, 60.20 and 33.75

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Solution

The fourth proportional to 40.13, 60.20 and 33.75 is: 50.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 60.20 = 33.75 : x
  2. Step 2: Convert to fraction form
    40.13/60.20 = 33.75/x
  3. Step 3: Cross multiply
    40.13x = 60.20 × 33.75
  4. Step 4: Simplify right side
    40.13x = 2,031.58
  5. Step 5: Solve for x
    x = 2,031.58/40.13
  6. Step 6: Final answer
    x = 50.63

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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.