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Finding the Fourth Proportional to 73.96, 101.93 and 52.09

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Solution

The fourth proportional to 73.96, 101.93 and 52.09 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.96 : 101.93 = 52.09 : x
  2. Step 2: Convert to fraction form
    73.96/101.93 = 52.09/x
  3. Step 3: Cross multiply
    73.96x = 101.93 × 52.09
  4. Step 4: Simplify right side
    73.96x = 5,309.02
  5. Step 5: Solve for x
    x = 5,309.02/73.96
  6. Step 6: Final answer
    x = 71.78

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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.