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Finding the Fourth Proportional to 40.07, 54.92 and 39.89

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Solution

The fourth proportional to 40.07, 54.92 and 39.89 is: 54.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.07 : 54.92 = 39.89 : x
  2. Step 2: Convert to fraction form
    40.07/54.92 = 39.89/x
  3. Step 3: Cross multiply
    40.07x = 54.92 × 39.89
  4. Step 4: Simplify right side
    40.07x = 2,190.43
  5. Step 5: Solve for x
    x = 2,190.43/40.07
  6. Step 6: Final answer
    x = 54.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.