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Finding the Fourth Proportional to 40.02, 54.86 and 39.95

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Solution

The fourth proportional to 40.02, 54.86 and 39.95 is: 54.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.02 : 54.86 = 39.95 : x
  2. Step 2: Convert to fraction form
    40.02/54.86 = 39.95/x
  3. Step 3: Cross multiply
    40.02x = 54.86 × 39.95
  4. Step 4: Simplify right side
    40.02x = 2,191.39
  5. Step 5: Solve for x
    x = 2,191.39/40.02
  6. Step 6: Final answer
    x = 54.76

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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.