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Finding the Fourth Proportional to 73.25, 101.09 and 47.38

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Solution

The fourth proportional to 73.25, 101.09 and 47.38 is: 65.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.25 : 101.09 = 47.38 : x
  2. Step 2: Convert to fraction form
    73.25/101.09 = 47.38/x
  3. Step 3: Cross multiply
    73.25x = 101.09 × 47.38
  4. Step 4: Simplify right side
    73.25x = 4,789.64
  5. Step 5: Solve for x
    x = 4,789.64/73.25
  6. Step 6: Final answer
    x = 65.39

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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.