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Finding the Fourth Proportional to 21.41, 29.54 and 14.14

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Solution

The fourth proportional to 21.41, 29.54 and 14.14 is: 19.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.41 : 29.54 = 14.14 : x
  2. Step 2: Convert to fraction form
    21.41/29.54 = 14.14/x
  3. Step 3: Cross multiply
    21.41x = 29.54 × 14.14
  4. Step 4: Simplify right side
    21.41x = 417.55
  5. Step 5: Solve for x
    x = 417.55/21.41
  6. Step 6: Final answer
    x = 19.50

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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.