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Finding the Fourth Proportional to 71.15, 106.11 and 67.23

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Solution

The fourth proportional to 71.15, 106.11 and 67.23 is: 100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.15 : 106.11 = 67.23 : x
  2. Step 2: Convert to fraction form
    71.15/106.11 = 67.23/x
  3. Step 3: Cross multiply
    71.15x = 106.11 × 67.23
  4. Step 4: Simplify right side
    71.15x = 7,133.78
  5. Step 5: Solve for x
    x = 7,133.78/71.15
  6. Step 6: Final answer
    x = 100.27

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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.