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Finding the Fourth Proportional to 15.57, 21.45 and 12.13

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Solution

The fourth proportional to 15.57, 21.45 and 12.13 is: 16.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.57 : 21.45 = 12.13 : x
  2. Step 2: Convert to fraction form
    15.57/21.45 = 12.13/x
  3. Step 3: Cross multiply
    15.57x = 21.45 × 12.13
  4. Step 4: Simplify right side
    15.57x = 260.13
  5. Step 5: Solve for x
    x = 260.13/15.57
  6. Step 6: Final answer
    x = 16.71

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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.