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Finding the Fourth Proportional to 71.74, 107.34 and 53.56

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Solution

The fourth proportional to 71.74, 107.34 and 53.56 is: 80.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 107.34 = 53.56 : x
  2. Step 2: Convert to fraction form
    71.74/107.34 = 53.56/x
  3. Step 3: Cross multiply
    71.74x = 107.34 × 53.56
  4. Step 4: Simplify right side
    71.74x = 5,749.13
  5. Step 5: Solve for x
    x = 5,749.13/71.74
  6. Step 6: Final answer
    x = 80.14

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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.