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Finding the Fourth Proportional to 40.19, 55.56 and 38.49

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Solution

The fourth proportional to 40.19, 55.56 and 38.49 is: 53.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.19 : 55.56 = 38.49 : x
  2. Step 2: Convert to fraction form
    40.19/55.56 = 38.49/x
  3. Step 3: Cross multiply
    40.19x = 55.56 × 38.49
  4. Step 4: Simplify right side
    40.19x = 2,138.50
  5. Step 5: Solve for x
    x = 2,138.50/40.19
  6. Step 6: Final answer
    x = 53.21

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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.