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Finding the Fourth Proportional to 40.08, 59.82 and 34.68

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Solution

The fourth proportional to 40.08, 59.82 and 34.68 is: 51.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.08 : 59.82 = 34.68 : x
  2. Step 2: Convert to fraction form
    40.08/59.82 = 34.68/x
  3. Step 3: Cross multiply
    40.08x = 59.82 × 34.68
  4. Step 4: Simplify right side
    40.08x = 2,074.56
  5. Step 5: Solve for x
    x = 2,074.56/40.08
  6. Step 6: Final answer
    x = 51.76

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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.