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Finding the Fourth Proportional to 73.78, 101.96 and 59.20

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Solution

The fourth proportional to 73.78, 101.96 and 59.20 is: 81.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 101.96 = 59.20 : x
  2. Step 2: Convert to fraction form
    73.78/101.96 = 59.20/x
  3. Step 3: Cross multiply
    73.78x = 101.96 × 59.20
  4. Step 4: Simplify right side
    73.78x = 6,035.70
  5. Step 5: Solve for x
    x = 6,035.70/73.78
  6. Step 6: Final answer
    x = 81.81

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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.