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Finding the Fourth Proportional to 45, 67.55 and 32.85

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Solution

The fourth proportional to 45, 67.55 and 32.85 is: 49.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 67.55 = 32.85 : x
  2. Step 2: Convert to fraction form
    45/67.55 = 32.85/x
  3. Step 3: Cross multiply
    45x = 67.55 × 32.85
  4. Step 4: Simplify right side
    45x = 2,218.85
  5. Step 5: Solve for x
    x = 2,218.85/45
  6. Step 6: Final answer
    x = 49.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.