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Finding the Fourth Proportional to 43.47, 65.21 and 35.96

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Solution

The fourth proportional to 43.47, 65.21 and 35.96 is: 53.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.47 : 65.21 = 35.96 : x
  2. Step 2: Convert to fraction form
    43.47/65.21 = 35.96/x
  3. Step 3: Cross multiply
    43.47x = 65.21 × 35.96
  4. Step 4: Simplify right side
    43.47x = 2,344.45
  5. Step 5: Solve for x
    x = 2,344.45/43.47
  6. Step 6: Final answer
    x = 53.93

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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.