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Finding the Fourth Proportional to 73.83, 110.76 and 37.75

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Solution

The fourth proportional to 73.83, 110.76 and 37.75 is: 56.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.83 : 110.76 = 37.75 : x
  2. Step 2: Convert to fraction form
    73.83/110.76 = 37.75/x
  3. Step 3: Cross multiply
    73.83x = 110.76 × 37.75
  4. Step 4: Simplify right side
    73.83x = 4,181.47
  5. Step 5: Solve for x
    x = 4,181.47/73.83
  6. Step 6: Final answer
    x = 56.64

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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.