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Finding the Fourth Proportional to 74, 110.92 and 37.96

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Solution

The fourth proportional to 74, 110.92 and 37.96 is: 56.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74 : 110.92 = 37.96 : x
  2. Step 2: Convert to fraction form
    74/110.92 = 37.96/x
  3. Step 3: Cross multiply
    74x = 110.92 × 37.96
  4. Step 4: Simplify right side
    74x = 4,210.52
  5. Step 5: Solve for x
    x = 4,210.52/74
  6. Step 6: Final answer
    x = 56.90

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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.