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Finding the Fourth Proportional to 40.56, 56.02 and 37.50

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Solution

The fourth proportional to 40.56, 56.02 and 37.50 is: 51.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.56 : 56.02 = 37.50 : x
  2. Step 2: Convert to fraction form
    40.56/56.02 = 37.50/x
  3. Step 3: Cross multiply
    40.56x = 56.02 × 37.50
  4. Step 4: Simplify right side
    40.56x = 2,100.75
  5. Step 5: Solve for x
    x = 2,100.75/40.56
  6. Step 6: Final answer
    x = 51.79

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