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Finding the Fourth Proportional to 71.72, 106.85 and 67.30

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Solution

The fourth proportional to 71.72, 106.85 and 67.30 is: 100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.72 : 106.85 = 67.30 : x
  2. Step 2: Convert to fraction form
    71.72/106.85 = 67.30/x
  3. Step 3: Cross multiply
    71.72x = 106.85 × 67.30
  4. Step 4: Simplify right side
    71.72x = 7,191.01
  5. Step 5: Solve for x
    x = 7,191.01/71.72
  6. Step 6: Final answer
    x = 100.26

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