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Finding the Fourth Proportional to 51.85, 71.54 and 33.43

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Solution

The fourth proportional to 51.85, 71.54 and 33.43 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.85 : 71.54 = 33.43 : x
  2. Step 2: Convert to fraction form
    51.85/71.54 = 33.43/x
  3. Step 3: Cross multiply
    51.85x = 71.54 × 33.43
  4. Step 4: Simplify right side
    51.85x = 2,391.31
  5. Step 5: Solve for x
    x = 2,391.31/51.85
  6. Step 6: Final answer
    x = 46.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.