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Finding the Fourth Proportional to 32.07, 48 and 27.21

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Solution

The fourth proportional to 32.07, 48 and 27.21 is: 40.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.07 : 48 = 27.21 : x
  2. Step 2: Convert to fraction form
    32.07/48 = 27.21/x
  3. Step 3: Cross multiply
    32.07x = 48 × 27.21
  4. Step 4: Simplify right side
    32.07x = 1,306.08
  5. Step 5: Solve for x
    x = 1,306.08/32.07
  6. Step 6: Final answer
    x = 40.73

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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.