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Finding the Fourth Proportional to 43.40, 65.12 and 34.24

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Solution

The fourth proportional to 43.40, 65.12 and 34.24 is: 51.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.40 : 65.12 = 34.24 : x
  2. Step 2: Convert to fraction form
    43.40/65.12 = 34.24/x
  3. Step 3: Cross multiply
    43.40x = 65.12 × 34.24
  4. Step 4: Simplify right side
    43.40x = 2,229.71
  5. Step 5: Solve for x
    x = 2,229.71/43.40
  6. Step 6: Final answer
    x = 51.38

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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.