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Finding the Fourth Proportional to 23.00, 31.70 and 18.09

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Solution

The fourth proportional to 23.00, 31.70 and 18.09 is: 24.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.00 : 31.70 = 18.09 : x
  2. Step 2: Convert to fraction form
    23.00/31.70 = 18.09/x
  3. Step 3: Cross multiply
    23.00x = 31.70 × 18.09
  4. Step 4: Simplify right side
    23.00x = 573.50
  5. Step 5: Solve for x
    x = 573.50/23.00
  6. Step 6: Final answer
    x = 24.94

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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.