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Finding the Fourth Proportional to 32.20, 48.07 and 27.14

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Solution

The fourth proportional to 32.20, 48.07 and 27.14 is: 40.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.20 : 48.07 = 27.14 : x
  2. Step 2: Convert to fraction form
    32.20/48.07 = 27.14/x
  3. Step 3: Cross multiply
    32.20x = 48.07 × 27.14
  4. Step 4: Simplify right side
    32.20x = 1,304.62
  5. Step 5: Solve for x
    x = 1,304.62/32.20
  6. Step 6: Final answer
    x = 40.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.