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Finding the Fourth Proportional to 73.50, 101.41 and 57.09

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Solution

The fourth proportional to 73.50, 101.41 and 57.09 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 101.41 = 57.09 : x
  2. Step 2: Convert to fraction form
    73.50/101.41 = 57.09/x
  3. Step 3: Cross multiply
    73.50x = 101.41 × 57.09
  4. Step 4: Simplify right side
    73.50x = 5,789.50
  5. Step 5: Solve for x
    x = 5,789.50/73.50
  6. Step 6: Final answer
    x = 78.77

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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.