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Finding the Fourth Proportional to 71.92, 99.76 and 69.85

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Solution

The fourth proportional to 71.92, 99.76 and 69.85 is: 96.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.92 : 99.76 = 69.85 : x
  2. Step 2: Convert to fraction form
    71.92/99.76 = 69.85/x
  3. Step 3: Cross multiply
    71.92x = 99.76 × 69.85
  4. Step 4: Simplify right side
    71.92x = 6,968.24
  5. Step 5: Solve for x
    x = 6,968.24/71.92
  6. Step 6: Final answer
    x = 96.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.