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Finding the Fourth Proportional to 12.00, 16.52 and 8.35

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Solution

The fourth proportional to 12.00, 16.52 and 8.35 is: 11.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.00 : 16.52 = 8.35 : x
  2. Step 2: Convert to fraction form
    12.00/16.52 = 8.35/x
  3. Step 3: Cross multiply
    12.00x = 16.52 × 8.35
  4. Step 4: Simplify right side
    12.00x = 137.90
  5. Step 5: Solve for x
    x = 137.90/12.00
  6. Step 6: Final answer
    x = 11.50

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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.