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Finding the Fourth Proportional to 16.34, 22.56 and 13.64

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Solution

The fourth proportional to 16.34, 22.56 and 13.64 is: 18.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.34 : 22.56 = 13.64 : x
  2. Step 2: Convert to fraction form
    16.34/22.56 = 13.64/x
  3. Step 3: Cross multiply
    16.34x = 22.56 × 13.64
  4. Step 4: Simplify right side
    16.34x = 307.72
  5. Step 5: Solve for x
    x = 307.72/16.34
  6. Step 6: Final answer
    x = 18.83

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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.