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Finding the Fourth Proportional to 37.92, 56.86 and 35.53

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Solution

The fourth proportional to 37.92, 56.86 and 35.53 is: 53.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.92 : 56.86 = 35.53 : x
  2. Step 2: Convert to fraction form
    37.92/56.86 = 35.53/x
  3. Step 3: Cross multiply
    37.92x = 56.86 × 35.53
  4. Step 4: Simplify right side
    37.92x = 2,020.24
  5. Step 5: Solve for x
    x = 2,020.24/37.92
  6. Step 6: Final answer
    x = 53.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.