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Finding the Fourth Proportional to 37.79, 52.17 and 35.81

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Solution

The fourth proportional to 37.79, 52.17 and 35.81 is: 49.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.79 : 52.17 = 35.81 : x
  2. Step 2: Convert to fraction form
    37.79/52.17 = 35.81/x
  3. Step 3: Cross multiply
    37.79x = 52.17 × 35.81
  4. Step 4: Simplify right side
    37.79x = 1,868.21
  5. Step 5: Solve for x
    x = 1,868.21/37.79
  6. Step 6: Final answer
    x = 49.44

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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.