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Finding the Fourth Proportional to 16.52, 22.65 and 16.02

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Solution

The fourth proportional to 16.52, 22.65 and 16.02 is: 21.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.52 : 22.65 = 16.02 : x
  2. Step 2: Convert to fraction form
    16.52/22.65 = 16.02/x
  3. Step 3: Cross multiply
    16.52x = 22.65 × 16.02
  4. Step 4: Simplify right side
    16.52x = 362.85
  5. Step 5: Solve for x
    x = 362.85/16.52
  6. Step 6: Final answer
    x = 21.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.