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Finding the Fourth Proportional to 25.33, 37.95 and 25.24

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Solution

The fourth proportional to 25.33, 37.95 and 25.24 is: 37.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.33 : 37.95 = 25.24 : x
  2. Step 2: Convert to fraction form
    25.33/37.95 = 25.24/x
  3. Step 3: Cross multiply
    25.33x = 37.95 × 25.24
  4. Step 4: Simplify right side
    25.33x = 957.86
  5. Step 5: Solve for x
    x = 957.86/25.33
  6. Step 6: Final answer
    x = 37.82

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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.