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Finding the Fourth Proportional to 18.14, 27.09 and 14.72

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Solution

The fourth proportional to 18.14, 27.09 and 14.72 is: 21.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.14 : 27.09 = 14.72 : x
  2. Step 2: Convert to fraction form
    18.14/27.09 = 14.72/x
  3. Step 3: Cross multiply
    18.14x = 27.09 × 14.72
  4. Step 4: Simplify right side
    18.14x = 398.63
  5. Step 5: Solve for x
    x = 398.63/18.14
  6. Step 6: Final answer
    x = 21.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.