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Finding the Fourth Proportional to 71.69, 106.95 and 69.89

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Solution

The fourth proportional to 71.69, 106.95 and 69.89 is: 104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.69 : 106.95 = 69.89 : x
  2. Step 2: Convert to fraction form
    71.69/106.95 = 69.89/x
  3. Step 3: Cross multiply
    71.69x = 106.95 × 69.89
  4. Step 4: Simplify right side
    71.69x = 7,474.39
  5. Step 5: Solve for x
    x = 7,474.39/71.69
  6. Step 6: Final answer
    x = 104.26

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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.