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Finding the Fourth Proportional to 71.28, 97.73 and 67.18

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Solution

The fourth proportional to 71.28, 97.73 and 67.18 is: 92.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.28 : 97.73 = 67.18 : x
  2. Step 2: Convert to fraction form
    71.28/97.73 = 67.18/x
  3. Step 3: Cross multiply
    71.28x = 97.73 × 67.18
  4. Step 4: Simplify right side
    71.28x = 6,565.55
  5. Step 5: Solve for x
    x = 6,565.55/71.28
  6. Step 6: Final answer
    x = 92.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.