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Finding the Fourth Proportional to 16.54, 22.80 and 12.64

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Solution

The fourth proportional to 16.54, 22.80 and 12.64 is: 17.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.54 : 22.80 = 12.64 : x
  2. Step 2: Convert to fraction form
    16.54/22.80 = 12.64/x
  3. Step 3: Cross multiply
    16.54x = 22.80 × 12.64
  4. Step 4: Simplify right side
    16.54x = 288.19
  5. Step 5: Solve for x
    x = 288.19/16.54
  6. Step 6: Final answer
    x = 17.42

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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.