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Finding the Fourth Proportional to 72.57, 108.27 and 67.74

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Solution

The fourth proportional to 72.57, 108.27 and 67.74 is: 101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.57 : 108.27 = 67.74 : x
  2. Step 2: Convert to fraction form
    72.57/108.27 = 67.74/x
  3. Step 3: Cross multiply
    72.57x = 108.27 × 67.74
  4. Step 4: Simplify right side
    72.57x = 7,334.21
  5. Step 5: Solve for x
    x = 7,334.21/72.57
  6. Step 6: Final answer
    x = 101.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.