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Finding the Fourth Proportional to 32.48, 48.64 and 20.96

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Solution

The fourth proportional to 32.48, 48.64 and 20.96 is: 31.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.48 : 48.64 = 20.96 : x
  2. Step 2: Convert to fraction form
    32.48/48.64 = 20.96/x
  3. Step 3: Cross multiply
    32.48x = 48.64 × 20.96
  4. Step 4: Simplify right side
    32.48x = 1,019.49
  5. Step 5: Solve for x
    x = 1,019.49/32.48
  6. Step 6: Final answer
    x = 31.39

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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.