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Finding the Fourth Proportional to 16.40, 22.59 and 13.65

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Solution

The fourth proportional to 16.40, 22.59 and 13.65 is: 18.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.40 : 22.59 = 13.65 : x
  2. Step 2: Convert to fraction form
    16.40/22.59 = 13.65/x
  3. Step 3: Cross multiply
    16.40x = 22.59 × 13.65
  4. Step 4: Simplify right side
    16.40x = 308.35
  5. Step 5: Solve for x
    x = 308.35/16.40
  6. Step 6: Final answer
    x = 18.81

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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.