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Finding the Fourth Proportional to 20.71, 31.06 and 14.64

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Solution

The fourth proportional to 20.71, 31.06 and 14.64 is: 21.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.71 : 31.06 = 14.64 : x
  2. Step 2: Convert to fraction form
    20.71/31.06 = 14.64/x
  3. Step 3: Cross multiply
    20.71x = 31.06 × 14.64
  4. Step 4: Simplify right side
    20.71x = 454.92
  5. Step 5: Solve for x
    x = 454.92/20.71
  6. Step 6: Final answer
    x = 21.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.