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Finding the Fourth Proportional to 18.40, 27.64 and 18.14

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Solution

The fourth proportional to 18.40, 27.64 and 18.14 is: 27.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.40 : 27.64 = 18.14 : x
  2. Step 2: Convert to fraction form
    18.40/27.64 = 18.14/x
  3. Step 3: Cross multiply
    18.40x = 27.64 × 18.14
  4. Step 4: Simplify right side
    18.40x = 501.39
  5. Step 5: Solve for x
    x = 501.39/18.40
  6. Step 6: Final answer
    x = 27.25

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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.