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Finding the Fourth Proportional to 14.38, 21.54 and 8.35

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Solution

The fourth proportional to 14.38, 21.54 and 8.35 is: 12.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.38 : 21.54 = 8.35 : x
  2. Step 2: Convert to fraction form
    14.38/21.54 = 8.35/x
  3. Step 3: Cross multiply
    14.38x = 21.54 × 8.35
  4. Step 4: Simplify right side
    14.38x = 179.85
  5. Step 5: Solve for x
    x = 179.85/14.38
  6. Step 6: Final answer
    x = 12.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.