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Finding the Fourth Proportional to 40.44, 55.56 and 37.80

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Solution

The fourth proportional to 40.44, 55.56 and 37.80 is: 51.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.44 : 55.56 = 37.80 : x
  2. Step 2: Convert to fraction form
    40.44/55.56 = 37.80/x
  3. Step 3: Cross multiply
    40.44x = 55.56 × 37.80
  4. Step 4: Simplify right side
    40.44x = 2,100.17
  5. Step 5: Solve for x
    x = 2,100.17/40.44
  6. Step 6: Final answer
    x = 51.93

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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.