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Finding the Fourth Proportional to 24.25, 36.38 and 10

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Solution

The fourth proportional to 24.25, 36.38 and 10 is: 15.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.25 : 36.38 = 10 : x
  2. Step 2: Convert to fraction form
    24.25/36.38 = 10/x
  3. Step 3: Cross multiply
    24.25x = 36.38 × 10
  4. Step 4: Simplify right side
    24.25x = 363.80
  5. Step 5: Solve for x
    x = 363.80/24.25
  6. Step 6: Final answer
    x = 15.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.