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Finding the Fourth Proportional to 71.56, 107.26 and 37.34

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Solution

The fourth proportional to 71.56, 107.26 and 37.34 is: 55.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 107.26 = 37.34 : x
  2. Step 2: Convert to fraction form
    71.56/107.26 = 37.34/x
  3. Step 3: Cross multiply
    71.56x = 107.26 × 37.34
  4. Step 4: Simplify right side
    71.56x = 4,004.86
  5. Step 5: Solve for x
    x = 4,004.86/71.56
  6. Step 6: Final answer
    x = 55.96

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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.