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Finding the Fourth Proportional to 20.99, 31.64 and 20.02

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Solution

The fourth proportional to 20.99, 31.64 and 20.02 is: 30.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.99 : 31.64 = 20.02 : x
  2. Step 2: Convert to fraction form
    20.99/31.64 = 20.02/x
  3. Step 3: Cross multiply
    20.99x = 31.64 × 20.02
  4. Step 4: Simplify right side
    20.99x = 633.43
  5. Step 5: Solve for x
    x = 633.43/20.99
  6. Step 6: Final answer
    x = 30.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.