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Finding the Fourth Proportional to 40.12, 59.78 and 37.56

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Solution

The fourth proportional to 40.12, 59.78 and 37.56 is: 55.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.12 : 59.78 = 37.56 : x
  2. Step 2: Convert to fraction form
    40.12/59.78 = 37.56/x
  3. Step 3: Cross multiply
    40.12x = 59.78 × 37.56
  4. Step 4: Simplify right side
    40.12x = 2,245.04
  5. Step 5: Solve for x
    x = 2,245.04/40.12
  6. Step 6: Final answer
    x = 55.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.