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Finding the Fourth Proportional to 20.81, 31.15 and 14.70

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Solution

The fourth proportional to 20.81, 31.15 and 14.70 is: 22.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.81 : 31.15 = 14.70 : x
  2. Step 2: Convert to fraction form
    20.81/31.15 = 14.70/x
  3. Step 3: Cross multiply
    20.81x = 31.15 × 14.70
  4. Step 4: Simplify right side
    20.81x = 457.68
  5. Step 5: Solve for x
    x = 457.68/20.81
  6. Step 6: Final answer
    x = 22.00

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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.