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Finding the Fourth Proportional to 73.83, 110.81 and 37.78

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Solution

The fourth proportional to 73.83, 110.81 and 37.78 is: 56.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.83 : 110.81 = 37.78 : x
  2. Step 2: Convert to fraction form
    73.83/110.81 = 37.78/x
  3. Step 3: Cross multiply
    73.83x = 110.81 × 37.78
  4. Step 4: Simplify right side
    73.83x = 4,186.21
  5. Step 5: Solve for x
    x = 4,186.21/73.83
  6. Step 6: Final answer
    x = 56.70

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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.