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Finding the Fourth Proportional to 43.50, 65.28 and 34.58

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Solution

The fourth proportional to 43.50, 65.28 and 34.58 is: 51.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.50 : 65.28 = 34.58 : x
  2. Step 2: Convert to fraction form
    43.50/65.28 = 34.58/x
  3. Step 3: Cross multiply
    43.50x = 65.28 × 34.58
  4. Step 4: Simplify right side
    43.50x = 2,257.38
  5. Step 5: Solve for x
    x = 2,257.38/43.50
  6. Step 6: Final answer
    x = 51.89

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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.