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Finding the Fourth Proportional to 14.54, 21.82 and 11.57

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Solution

The fourth proportional to 14.54, 21.82 and 11.57 is: 17.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.54 : 21.82 = 11.57 : x
  2. Step 2: Convert to fraction form
    14.54/21.82 = 11.57/x
  3. Step 3: Cross multiply
    14.54x = 21.82 × 11.57
  4. Step 4: Simplify right side
    14.54x = 252.32
  5. Step 5: Solve for x
    x = 252.32/14.54
  6. Step 6: Final answer
    x = 17.35

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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.