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Finding the Fourth Proportional to 32.75, 49.20 and 27.65

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Solution

The fourth proportional to 32.75, 49.20 and 27.65 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.75 : 49.20 = 27.65 : x
  2. Step 2: Convert to fraction form
    32.75/49.20 = 27.65/x
  3. Step 3: Cross multiply
    32.75x = 49.20 × 27.65
  4. Step 4: Simplify right side
    32.75x = 1,360.40
  5. Step 5: Solve for x
    x = 1,360.40/32.75
  6. Step 6: Final answer
    x = 41.54

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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.