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Finding the Fourth Proportional to 18.64, 25.66 and 14.54

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Solution

The fourth proportional to 18.64, 25.66 and 14.54 is: 20.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.64 : 25.66 = 14.54 : x
  2. Step 2: Convert to fraction form
    18.64/25.66 = 14.54/x
  3. Step 3: Cross multiply
    18.64x = 25.66 × 14.54
  4. Step 4: Simplify right side
    18.64x = 373.10
  5. Step 5: Solve for x
    x = 373.10/18.64
  6. Step 6: Final answer
    x = 20.02

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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.