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Finding the Fourth Proportional to 18.16, 25.07 and 12.91

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Solution

The fourth proportional to 18.16, 25.07 and 12.91 is: 17.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.16 : 25.07 = 12.91 : x
  2. Step 2: Convert to fraction form
    18.16/25.07 = 12.91/x
  3. Step 3: Cross multiply
    18.16x = 25.07 × 12.91
  4. Step 4: Simplify right side
    18.16x = 323.65
  5. Step 5: Solve for x
    x = 323.65/18.16
  6. Step 6: Final answer
    x = 17.82

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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.