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Finding the Fourth Proportional to 17.76, 24.54 and 16.56

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Solution

The fourth proportional to 17.76, 24.54 and 16.56 is: 22.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.76 : 24.54 = 16.56 : x
  2. Step 2: Convert to fraction form
    17.76/24.54 = 16.56/x
  3. Step 3: Cross multiply
    17.76x = 24.54 × 16.56
  4. Step 4: Simplify right side
    17.76x = 406.38
  5. Step 5: Solve for x
    x = 406.38/17.76
  6. Step 6: Final answer
    x = 22.88

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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.