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Finding the Fourth Proportional to 65.81, 98.72 and 35.37

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Solution

The fourth proportional to 65.81, 98.72 and 35.37 is: 53.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 98.72 = 35.37 : x
  2. Step 2: Convert to fraction form
    65.81/98.72 = 35.37/x
  3. Step 3: Cross multiply
    65.81x = 98.72 × 35.37
  4. Step 4: Simplify right side
    65.81x = 3,491.06
  5. Step 5: Solve for x
    x = 3,491.06/65.81
  6. Step 6: Final answer
    x = 53.05

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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.