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Finding the Fourth Proportional to 51.83, 71.37 and 39.52

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Solution

The fourth proportional to 51.83, 71.37 and 39.52 is: 54.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.83 : 71.37 = 39.52 : x
  2. Step 2: Convert to fraction form
    51.83/71.37 = 39.52/x
  3. Step 3: Cross multiply
    51.83x = 71.37 × 39.52
  4. Step 4: Simplify right side
    51.83x = 2,820.36
  5. Step 5: Solve for x
    x = 2,820.36/51.83
  6. Step 6: Final answer
    x = 54.42

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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.