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Finding the Fourth Proportional to 43.46, 65.33 and 35.90

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Solution

The fourth proportional to 43.46, 65.33 and 35.90 is: 53.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.46 : 65.33 = 35.90 : x
  2. Step 2: Convert to fraction form
    43.46/65.33 = 35.90/x
  3. Step 3: Cross multiply
    43.46x = 65.33 × 35.90
  4. Step 4: Simplify right side
    43.46x = 2,345.33
  5. Step 5: Solve for x
    x = 2,345.33/43.46
  6. Step 6: Final answer
    x = 53.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.