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Finding the Fourth Proportional to 31.63, 47.47 and 20.81

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Solution

The fourth proportional to 31.63, 47.47 and 20.81 is: 31.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.63 : 47.47 = 20.81 : x
  2. Step 2: Convert to fraction form
    31.63/47.47 = 20.81/x
  3. Step 3: Cross multiply
    31.63x = 47.47 × 20.81
  4. Step 4: Simplify right side
    31.63x = 987.86
  5. Step 5: Solve for x
    x = 987.86/31.63
  6. Step 6: Final answer
    x = 31.23

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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.