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Finding the Fourth Proportional to 51.78, 71.46 and 34.28

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Solution

The fourth proportional to 51.78, 71.46 and 34.28 is: 47.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.78 : 71.46 = 34.28 : x
  2. Step 2: Convert to fraction form
    51.78/71.46 = 34.28/x
  3. Step 3: Cross multiply
    51.78x = 71.46 × 34.28
  4. Step 4: Simplify right side
    51.78x = 2,449.91
  5. Step 5: Solve for x
    x = 2,449.91/51.78
  6. Step 6: Final answer
    x = 47.32

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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.