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Finding the Fourth Proportional to 20.84, 31.13 and 17.28

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Solution

The fourth proportional to 20.84, 31.13 and 17.28 is: 25.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.84 : 31.13 = 17.28 : x
  2. Step 2: Convert to fraction form
    20.84/31.13 = 17.28/x
  3. Step 3: Cross multiply
    20.84x = 31.13 × 17.28
  4. Step 4: Simplify right side
    20.84x = 537.93
  5. Step 5: Solve for x
    x = 537.93/20.84
  6. Step 6: Final answer
    x = 25.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.