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Finding the Fourth Proportional to 32.48, 48.73 and 8.44

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Solution

The fourth proportional to 32.48, 48.73 and 8.44 is: 12.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.48 : 48.73 = 8.44 : x
  2. Step 2: Convert to fraction form
    32.48/48.73 = 8.44/x
  3. Step 3: Cross multiply
    32.48x = 48.73 × 8.44
  4. Step 4: Simplify right side
    32.48x = 411.13
  5. Step 5: Solve for x
    x = 411.13/32.48
  6. Step 6: Final answer
    x = 12.66

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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.