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Finding the Fourth Proportional to 96.67, 145.02 and 35.80

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Solution

The fourth proportional to 96.67, 145.02 and 35.80 is: 53.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.67 : 145.02 = 35.80 : x
  2. Step 2: Convert to fraction form
    96.67/145.02 = 35.80/x
  3. Step 3: Cross multiply
    96.67x = 145.02 × 35.80
  4. Step 4: Simplify right side
    96.67x = 5,191.72
  5. Step 5: Solve for x
    x = 5,191.72/96.67
  6. Step 6: Final answer
    x = 53.71

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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.