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Finding the Fourth Proportional to 43.96, 65.68 and 35.38

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Solution

The fourth proportional to 43.96, 65.68 and 35.38 is: 52.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.96 : 65.68 = 35.38 : x
  2. Step 2: Convert to fraction form
    43.96/65.68 = 35.38/x
  3. Step 3: Cross multiply
    43.96x = 65.68 × 35.38
  4. Step 4: Simplify right side
    43.96x = 2,323.76
  5. Step 5: Solve for x
    x = 2,323.76/43.96
  6. Step 6: Final answer
    x = 52.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.