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Finding the Fourth Proportional to 40.14, 60.21 and 39.69

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Solution

The fourth proportional to 40.14, 60.21 and 39.69 is: 59.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.14 : 60.21 = 39.69 : x
  2. Step 2: Convert to fraction form
    40.14/60.21 = 39.69/x
  3. Step 3: Cross multiply
    40.14x = 60.21 × 39.69
  4. Step 4: Simplify right side
    40.14x = 2,389.73
  5. Step 5: Solve for x
    x = 2,389.73/40.14
  6. Step 6: Final answer
    x = 59.54

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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.