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Finding the Fourth Proportional to 40.10, 55.38 and 27.84

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Solution

The fourth proportional to 40.10, 55.38 and 27.84 is: 38.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.10 : 55.38 = 27.84 : x
  2. Step 2: Convert to fraction form
    40.10/55.38 = 27.84/x
  3. Step 3: Cross multiply
    40.10x = 55.38 × 27.84
  4. Step 4: Simplify right side
    40.10x = 1,542.09
  5. Step 5: Solve for x
    x = 1,542.09/40.10
  6. Step 6: Final answer
    x = 38.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.