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Finding the Fourth Proportional to 25.82, 38.55 and 24.99

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Solution

The fourth proportional to 25.82, 38.55 and 24.99 is: 37.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.82 : 38.55 = 24.99 : x
  2. Step 2: Convert to fraction form
    25.82/38.55 = 24.99/x
  3. Step 3: Cross multiply
    25.82x = 38.55 × 24.99
  4. Step 4: Simplify right side
    25.82x = 963.36
  5. Step 5: Solve for x
    x = 963.36/25.82
  6. Step 6: Final answer
    x = 37.32

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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.