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Finding the Fourth Proportional to 72.89, 108.35 and 71.68

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Solution

The fourth proportional to 72.89, 108.35 and 71.68 is: 106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.89 : 108.35 = 71.68 : x
  2. Step 2: Convert to fraction form
    72.89/108.35 = 71.68/x
  3. Step 3: Cross multiply
    72.89x = 108.35 × 71.68
  4. Step 4: Simplify right side
    72.89x = 7,766.53
  5. Step 5: Solve for x
    x = 7,766.53/72.89
  6. Step 6: Final answer
    x = 106.55

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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.