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Finding the Fourth Proportional to 18.64, 25.72 and 14.03

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Solution

The fourth proportional to 18.64, 25.72 and 14.03 is: 19.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.64 : 25.72 = 14.03 : x
  2. Step 2: Convert to fraction form
    18.64/25.72 = 14.03/x
  3. Step 3: Cross multiply
    18.64x = 25.72 × 14.03
  4. Step 4: Simplify right side
    18.64x = 360.86
  5. Step 5: Solve for x
    x = 360.86/18.64
  6. Step 6: Final answer
    x = 19.36

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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.