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Finding the Fourth Proportional to 24.85, 34.29 and 14.49

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Solution

The fourth proportional to 24.85, 34.29 and 14.49 is: 19.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.85 : 34.29 = 14.49 : x
  2. Step 2: Convert to fraction form
    24.85/34.29 = 14.49/x
  3. Step 3: Cross multiply
    24.85x = 34.29 × 14.49
  4. Step 4: Simplify right side
    24.85x = 496.86
  5. Step 5: Solve for x
    x = 496.86/24.85
  6. Step 6: Final answer
    x = 19.99

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Why These Related Problems?

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