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Finding the Fourth Proportional to 37.34, 56.11 and 35.99

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Solution

The fourth proportional to 37.34, 56.11 and 35.99 is: 54.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.34 : 56.11 = 35.99 : x
  2. Step 2: Convert to fraction form
    37.34/56.11 = 35.99/x
  3. Step 3: Cross multiply
    37.34x = 56.11 × 35.99
  4. Step 4: Simplify right side
    37.34x = 2,019.40
  5. Step 5: Solve for x
    x = 2,019.40/37.34
  6. Step 6: Final answer
    x = 54.08

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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.