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Finding the Fourth Proportional to 73.77, 110.57 and 38.97

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Solution

The fourth proportional to 73.77, 110.57 and 38.97 is: 58.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.77 : 110.57 = 38.97 : x
  2. Step 2: Convert to fraction form
    73.77/110.57 = 38.97/x
  3. Step 3: Cross multiply
    73.77x = 110.57 × 38.97
  4. Step 4: Simplify right side
    73.77x = 4,308.91
  5. Step 5: Solve for x
    x = 4,308.91/73.77
  6. Step 6: Final answer
    x = 58.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.