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Finding the Fourth Proportional to 45.76, 68.64 and 17.24

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Solution

The fourth proportional to 45.76, 68.64 and 17.24 is: 25.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.76 : 68.64 = 17.24 : x
  2. Step 2: Convert to fraction form
    45.76/68.64 = 17.24/x
  3. Step 3: Cross multiply
    45.76x = 68.64 × 17.24
  4. Step 4: Simplify right side
    45.76x = 1,183.35
  5. Step 5: Solve for x
    x = 1,183.35/45.76
  6. Step 6: Final answer
    x = 25.86

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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.