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Finding the Fourth Proportional to 45.04, 67.50 and 33.56

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Solution

The fourth proportional to 45.04, 67.50 and 33.56 is: 50.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.04 : 67.50 = 33.56 : x
  2. Step 2: Convert to fraction form
    45.04/67.50 = 33.56/x
  3. Step 3: Cross multiply
    45.04x = 67.50 × 33.56
  4. Step 4: Simplify right side
    45.04x = 2,265.30
  5. Step 5: Solve for x
    x = 2,265.30/45.04
  6. Step 6: Final answer
    x = 50.30

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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.