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Finding the Fourth Proportional to 40.62, 60.96 and 17.82

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Solution

The fourth proportional to 40.62, 60.96 and 17.82 is: 26.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.62 : 60.96 = 17.82 : x
  2. Step 2: Convert to fraction form
    40.62/60.96 = 17.82/x
  3. Step 3: Cross multiply
    40.62x = 60.96 × 17.82
  4. Step 4: Simplify right side
    40.62x = 1,086.31
  5. Step 5: Solve for x
    x = 1,086.31/40.62
  6. Step 6: Final answer
    x = 26.74

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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.