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Finding the Fourth Proportional to 16.34, 22.56 and 12.02

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Solution

The fourth proportional to 16.34, 22.56 and 12.02 is: 16.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.34 : 22.56 = 12.02 : x
  2. Step 2: Convert to fraction form
    16.34/22.56 = 12.02/x
  3. Step 3: Cross multiply
    16.34x = 22.56 × 12.02
  4. Step 4: Simplify right side
    16.34x = 271.17
  5. Step 5: Solve for x
    x = 271.17/16.34
  6. Step 6: Final answer
    x = 16.60

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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.