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Finding the Fourth Proportional to 25.76, 38.46 and 24

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Solution

The fourth proportional to 25.76, 38.46 and 24 is: 35.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.76 : 38.46 = 24 : x
  2. Step 2: Convert to fraction form
    25.76/38.46 = 24/x
  3. Step 3: Cross multiply
    25.76x = 38.46 × 24
  4. Step 4: Simplify right side
    25.76x = 923.04
  5. Step 5: Solve for x
    x = 923.04/25.76
  6. Step 6: Final answer
    x = 35.83

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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.