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Finding the Fourth Proportional to 37.07, 55.63 and 36.96

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Solution

The fourth proportional to 37.07, 55.63 and 36.96 is: 55.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.07 : 55.63 = 36.96 : x
  2. Step 2: Convert to fraction form
    37.07/55.63 = 36.96/x
  3. Step 3: Cross multiply
    37.07x = 55.63 × 36.96
  4. Step 4: Simplify right side
    37.07x = 2,056.08
  5. Step 5: Solve for x
    x = 2,056.08/37.07
  6. Step 6: Final answer
    x = 55.46

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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.