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Finding the Fourth Proportional to 32.39, 48.56 and 10.71

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Solution

The fourth proportional to 32.39, 48.56 and 10.71 is: 16.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.39 : 48.56 = 10.71 : x
  2. Step 2: Convert to fraction form
    32.39/48.56 = 10.71/x
  3. Step 3: Cross multiply
    32.39x = 48.56 × 10.71
  4. Step 4: Simplify right side
    32.39x = 520.08
  5. Step 5: Solve for x
    x = 520.08/32.39
  6. Step 6: Final answer
    x = 16.06

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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.