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Finding the Fourth Proportional to 43.42, 65.12 and 35.84

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Solution

The fourth proportional to 43.42, 65.12 and 35.84 is: 53.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.42 : 65.12 = 35.84 : x
  2. Step 2: Convert to fraction form
    43.42/65.12 = 35.84/x
  3. Step 3: Cross multiply
    43.42x = 65.12 × 35.84
  4. Step 4: Simplify right side
    43.42x = 2,333.90
  5. Step 5: Solve for x
    x = 2,333.90/43.42
  6. Step 6: Final answer
    x = 53.75

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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.