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Finding the Fourth Proportional to 71.23, 106.23 and 67.59

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Solution

The fourth proportional to 71.23, 106.23 and 67.59 is: 100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.23 : 106.23 = 67.59 : x
  2. Step 2: Convert to fraction form
    71.23/106.23 = 67.59/x
  3. Step 3: Cross multiply
    71.23x = 106.23 × 67.59
  4. Step 4: Simplify right side
    71.23x = 7,180.09
  5. Step 5: Solve for x
    x = 7,180.09/71.23
  6. Step 6: Final answer
    x = 100.80

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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.