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Finding the Fourth Proportional to 18.13, 27.16 and 16.45

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Solution

The fourth proportional to 18.13, 27.16 and 16.45 is: 24.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.13 : 27.16 = 16.45 : x
  2. Step 2: Convert to fraction form
    18.13/27.16 = 16.45/x
  3. Step 3: Cross multiply
    18.13x = 27.16 × 16.45
  4. Step 4: Simplify right side
    18.13x = 446.78
  5. Step 5: Solve for x
    x = 446.78/18.13
  6. Step 6: Final answer
    x = 24.64

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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.