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Finding the Fourth Proportional to 32.20, 48.38 and 17

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Solution

The fourth proportional to 32.20, 48.38 and 17 is: 25.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.20 : 48.38 = 17 : x
  2. Step 2: Convert to fraction form
    32.20/48.38 = 17/x
  3. Step 3: Cross multiply
    32.20x = 48.38 × 17
  4. Step 4: Simplify right side
    32.20x = 822.46
  5. Step 5: Solve for x
    x = 822.46/32.20
  6. Step 6: Final answer
    x = 25.54

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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.