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Finding the Fourth Proportional to 24.96, 34.45 and 14.05

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Solution

The fourth proportional to 24.96, 34.45 and 14.05 is: 19.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.96 : 34.45 = 14.05 : x
  2. Step 2: Convert to fraction form
    24.96/34.45 = 14.05/x
  3. Step 3: Cross multiply
    24.96x = 34.45 × 14.05
  4. Step 4: Simplify right side
    24.96x = 483.85
  5. Step 5: Solve for x
    x = 483.85/24.96
  6. Step 6: Final answer
    x = 19.39

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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.