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Finding the Fourth Proportional to 25.24, 37.76 and 18.46

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Solution

The fourth proportional to 25.24, 37.76 and 18.46 is: 27.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.24 : 37.76 = 18.46 : x
  2. Step 2: Convert to fraction form
    25.24/37.76 = 18.46/x
  3. Step 3: Cross multiply
    25.24x = 37.76 × 18.46
  4. Step 4: Simplify right side
    25.24x = 697.05
  5. Step 5: Solve for x
    x = 697.05/25.24
  6. Step 6: Final answer
    x = 27.62

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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.