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Finding the Fourth Proportional to 32.01, 48.09 and 27.75

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Solution

The fourth proportional to 32.01, 48.09 and 27.75 is: 41.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.01 : 48.09 = 27.75 : x
  2. Step 2: Convert to fraction form
    32.01/48.09 = 27.75/x
  3. Step 3: Cross multiply
    32.01x = 48.09 × 27.75
  4. Step 4: Simplify right side
    32.01x = 1,334.50
  5. Step 5: Solve for x
    x = 1,334.50/32.01
  6. Step 6: Final answer
    x = 41.69

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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.