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Finding the Fourth Proportional to 24.85, 34.29 and 20.24

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Solution

The fourth proportional to 24.85, 34.29 and 20.24 is: 27.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.85 : 34.29 = 20.24 : x
  2. Step 2: Convert to fraction form
    24.85/34.29 = 20.24/x
  3. Step 3: Cross multiply
    24.85x = 34.29 × 20.24
  4. Step 4: Simplify right side
    24.85x = 693.78
  5. Step 5: Solve for x
    x = 693.78/24.85
  6. Step 6: Final answer
    x = 27.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.