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Finding the Fourth Proportional to 25.21, 37.82 and 24.15

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Solution

The fourth proportional to 25.21, 37.82 and 24.15 is: 36.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.21 : 37.82 = 24.15 : x
  2. Step 2: Convert to fraction form
    25.21/37.82 = 24.15/x
  3. Step 3: Cross multiply
    25.21x = 37.82 × 24.15
  4. Step 4: Simplify right side
    25.21x = 913.21
  5. Step 5: Solve for x
    x = 913.21/25.21
  6. Step 6: Final answer
    x = 36.22

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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.