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Finding the Fourth Proportional to 12, 16.57 and 9.57

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Solution

The fourth proportional to 12, 16.57 and 9.57 is: 13.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12 : 16.57 = 9.57 : x
  2. Step 2: Convert to fraction form
    12/16.57 = 9.57/x
  3. Step 3: Cross multiply
    12x = 16.57 × 9.57
  4. Step 4: Simplify right side
    12x = 158.57
  5. Step 5: Solve for x
    x = 158.57/12
  6. Step 6: Final answer
    x = 13.21

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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.