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Finding the Fourth Proportional to 73.86, 110.71 and 37.71

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Solution

The fourth proportional to 73.86, 110.71 and 37.71 is: 56.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.86 : 110.71 = 37.71 : x
  2. Step 2: Convert to fraction form
    73.86/110.71 = 37.71/x
  3. Step 3: Cross multiply
    73.86x = 110.71 × 37.71
  4. Step 4: Simplify right side
    73.86x = 4,174.87
  5. Step 5: Solve for x
    x = 4,174.87/73.86
  6. Step 6: Final answer
    x = 56.52

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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.