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Finding the Fourth Proportional to 32.25, 48.32 and 20.20

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Solution

The fourth proportional to 32.25, 48.32 and 20.20 is: 30.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.25 : 48.32 = 20.20 : x
  2. Step 2: Convert to fraction form
    32.25/48.32 = 20.20/x
  3. Step 3: Cross multiply
    32.25x = 48.32 × 20.20
  4. Step 4: Simplify right side
    32.25x = 976.06
  5. Step 5: Solve for x
    x = 976.06/32.25
  6. Step 6: Final answer
    x = 30.27

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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.