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Finding the Fourth Proportional to 96.66, 145.07 and 35.84

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Solution

The fourth proportional to 96.66, 145.07 and 35.84 is: 53.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.66 : 145.07 = 35.84 : x
  2. Step 2: Convert to fraction form
    96.66/145.07 = 35.84/x
  3. Step 3: Cross multiply
    96.66x = 145.07 × 35.84
  4. Step 4: Simplify right side
    96.66x = 5,198.40
  5. Step 5: Solve for x
    x = 5,198.40/96.66
  6. Step 6: Final answer
    x = 53.78

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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.