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Finding the Fourth Proportional to 18.00, 24.85 and 10.23

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Solution

The fourth proportional to 18.00, 24.85 and 10.23 is: 14.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.00 : 24.85 = 10.23 : x
  2. Step 2: Convert to fraction form
    18.00/24.85 = 10.23/x
  3. Step 3: Cross multiply
    18.00x = 24.85 × 10.23
  4. Step 4: Simplify right side
    18.00x = 254.26
  5. Step 5: Solve for x
    x = 254.26/18.00
  6. Step 6: Final answer
    x = 14.12

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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.