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Finding the Fourth Proportional to 18.09, 26.98 and 16.20

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Solution

The fourth proportional to 18.09, 26.98 and 16.20 is: 24.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.09 : 26.98 = 16.20 : x
  2. Step 2: Convert to fraction form
    18.09/26.98 = 16.20/x
  3. Step 3: Cross multiply
    18.09x = 26.98 × 16.20
  4. Step 4: Simplify right side
    18.09x = 437.04
  5. Step 5: Solve for x
    x = 437.04/18.09
  6. Step 6: Final answer
    x = 24.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.